When does the graph of a quadratic function open up?open down?

The graph of a quadratic function opens up when a (<,>,=) 0 and opens down when a (<,>,=) 0

Answers

Answer 1

Answer:

1. >

2. <

Step-by-step explanation:

When a > 0, the graph opens upwards, or positively, because the way the line curves is determined by a.

When a < 0, the graph opens downwards, or negatively, for the same reason.

Answer 2

Final answer:

The graph of a quadratic function opens upwards when the coefficient of the squared term is positive (a > 0), and opens downwards when this coefficient is negative (a < 0).

Explanation:

The graph of a quadratic function opens up or down based on the sign of the coefficient of the squared term (usually represented as 'a' in the quadratic equation ax2 + bx + c). When this coefficient a is positive (a > 0), the parabola opens upwards. Conversely, if the coefficient a is negative (a < 0), the parabola opens downwards. The orientation of the parabola reflects whether the quadratic function has a minimum value (opening upwards) or a maximum value (opening downwards).


Related Questions

HELP HELP HELP HELP HELP HELP HELP HELP HELP

Answers

Answer:

y = 6|x|

Step-by-step explanation:

y = |x|

When we scale vertically, we multiply by a constant

y = a f(x)

We are multiplying by 6

y = 6|x|

What is the solution to this equation?

a/6-11=25

What does a equal?

Answers

Answer:

Step-by-step explanation:

6x(a/6)-6x11=25x6

a-66=150

a=216


One zip Weighs as much as three zaps two zaps weight as much as five zowies three zowies weigh as much as two swooshes if one weighs sixty pounds how much does a zip weigh

Answers

Answer:1 zip weighs 30 lb

Step-by-step explanation:

3 zowies = 12 lb. so, 1 zowie = 4 lb.

2 zap = 20 lb. so, 1 zap = 10 lb.

1 zip = 30 lb.

One zip weighs 360 pounds.

1. One zip weighs as much as three zaps.

2. Two zaps weigh as much as five zowies.

3. Three zowies weigh as much as two swooshes.

4. One swoosh weighs 60 pounds.

We need to find the weight of one zip.

Step 1: Find the weight of one swoosh.

Since one swoosh weighs 60 pounds, we have:

1 swoosh = 60 pounds

Step 2: Find the weight of three zowies.

Since three zowies weigh as much as two swooshes, and one swoosh weighs 60 pounds, we have:

3 zowies = 2 swooshes = 2 * 60 = 120 pounds

Step 3: Find the weight of two zaps.

Since two zaps weigh as much as five zowies, and three zowies weigh 120 pounds, we have:

2 zaps = 5 zowies = 120 pounds

Step 4: Find the weight of one zip.

Since one zip weighs as much as three zaps, and two zaps weigh 120 pounds, we have:

1 zip = 3 zaps = 3 * 120 = 360 pounds

Circle C is shown. Line segments E C and F C are radii. Angle E C F is 109 degrees. Line segment A D is a chord. A line is drawn from point A to point B to form another chord. The measures of arcs B D and E F are congruent. Use the diagram to complete the statements. The measure of minor arc EF is °. The measure of angle DAB is °.

Answers

Answer:

109, 54.4

Step-by-step explanation:

In the circle, the measure of minor arc EF is 109° and the measure of angle DAB is 54.5°.

How to solve the circle?

From the complete information, the line segments EC and FC are radii, angle ECF is 109 degrees while the line segment AD is a chord.

In this case, the measure of minor arc EF will be the value of the angle given which is 109°. Also, the measure of angle DAB will be:

= 1/2 × 109°

= 54.5°

Learn more about circles on:

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Divide the sum of 3/4 and −4/7 by their difference

Answers

Answer:

5/37.

Step-by-step explanation:

Sum:

3/4 + -4/7

= 21/28 - 16/28

= 5/28

Difference:

3/4 -  (-4/7)

= 3/4 + 4/7

= 21/28 + 16/28

= 37/28.

Dividing:

5/28 / 37/28

= 5/28 * 28/37

= 5/37.

Marvin used a customary unit of measure to estimate the weight of a watermelon he grew in his backyard what could the estimated weight be

Answers

Answer:

Usually pounds (lb) .About an an average of  20 to 25 pounds (lbs)

Step-by-step explanation:

Since Marvin uses Customary units, and considering the Watermelon.

Pounds,  He could estimate based on average of 20 to 25 pounds.

He could choose another customary units, but it wouldn't be practical and unusual to say a watermelon of 160 quarters, also it would leave all the listeners without parameters.

So, definitely pounds.

Circle P has a circumference of approximately 75 inches.
What is the approximate length of the radius, r? Use 3.14
for 7. Round to the nearest inch.
O
O
O
O
12 inches
24 inches
38 inches
46 inches
Save and yit
Submit

Answers

Okay, we are going to solve this backwards!

First, we need to know that the formula for circumference is

c = π × d

d = diameter

π = 3.14

They told us what the circumference is, so let's plug it in

75 = (3.14) × (d)

let's solve for d

[tex]\frac{75}{3.14} = d[/tex]

d = 23.88 inches

We must remeber that the radius is HALF of the diameter, so let's divide the diameter by 2

[tex]\frac{23.88}{2} = 11.94[/tex]

Now, let's round to the nearest whole inch like they suggested

11.94 ≈ 12

The answer is 12 inches!

The answer would most likely be 12.the reason because when you do 75 divided by 3.14 =23.885,then 23.885 divided by 2 is 11.94,when rounded is 12 inches. You welcome,and have a nice day

6x+1 = -8x-13
pleasee

Answers

Answer: [tex]x=-1[/tex]

Add 8x to both sides

[tex]6x+1+8x=-8x-13+8x\\14x+1=-13[/tex]

Subtract 1 from both sides

[tex]14x+1-1=−13-1\\14x=-14[/tex]

Divide both sides by 14

[tex]14x/14=-14/14\\x=-1[/tex]

Answer:

[tex]6x + 1 = - 8x - 13 \\ 6x + 8x = - 1 - 1 3 \\ 14x = - 14 \\ \frac{14x}{14} = \frac{ - 14}{14} \\ x = - 1[/tex]

hope this helps you.....

PQ⊥PS , m∠QPR=7x−9, m∠RPS=4x+22
Find : m∠QPR

Answers

Given:

It is given that,

PQ ⊥ PS and

∠QPR = 7x-9

∠RPS = 4x+22

To find the value of ∠QPR.

Formula

As per the given problem PR lies between PQ and PS,

So,

∠QPR+∠RPS = 90°

Now,

Putting the values of ∠RPS and ∠QPR we get,

[tex]7x-9+4x+22 = 90[/tex]

or, [tex]11x = 90-22+9[/tex]

or, [tex]11x = 77[/tex]

or, [tex]x = \frac{77}{11}[/tex]

or, [tex]x = 7[/tex]

Substituting the value of [tex]x = 7[/tex] in ∠QPR we get,

∠QPR = [tex]7(7)-9[/tex]

or, ∠QPR = [tex]40^\circ[/tex]

Hence,

The value of ∠QPR is 40°.

A rectangular prism with a volume of 444 cubic units is filled with cubes with side lengths of \dfrac13

3

1



start fraction, 1, divided by, 3, end fraction unit.

How many \dfrac13

3

1



start fraction, 1, divided by, 3, end fraction unit cubes does it take to fill the prism?

Answers

Answer:

108 cubes

Step-by-step explanation:

Lengths of one of the cube s=[tex]\dfrac{1}{3}[/tex]

Volume of a Cube  [tex]=s^3[/tex]

Volume of one of the Cubes [tex]=(\dfrac{1}{3})^3=\dfrac{1}{27}[/tex]

The volume of the rectangular prism is 4 cubic units.

Therefore, to find the number of cubes it takes to fill the prism, we divide the volume of the prism by the volume of the cube.

[tex]\text{Volume of Prism/Volume of Cube}=4 \div \dfrac{1}{27}\\=4 X 27 \\=108[/tex]

It takes 108 cubes to fill the rectangular prism.

Answer:

108

Step-by-step explanation:

Jerrod’s family drove 1,778 miles from Denver, Colorado, to New York City. They averaged 61.7 miles per hour on the trip. Which is the best estimate of the number of hours the family drove?
A.3 hours
B.4 hours
C.30 hours
D.40 hours

Answers

Answer:

Step-by-step explanation

61.7÷ 1778= 28.81

Choice C

Answer:

C

Step-by-step explanation:

Did the test on edge

How can we interpret |-50| in context?

A. amount of money you have left on account

B. amount of money you owe the bank

C. negative 50 dollars

Answers

Answer: The answer is B, The amount of money you owe to the bank. Maybe A.....

( Vote me brainliest answer , please )

B. It’s the only answer that makes sense

What is the slope of the line represented by the equation y =4\5x-3

Answers

Answer:

4/5

Step-by-step explanation:

For lines represented by the equation "y = mx + b", m is the slope. In this case, m = 4/5

(NEED HELP ASAP) plz UvU

Answers

Answer:

X equals 5

Step-by-step explanation:

Combine like terms

Help! Can someone please explain!

Answers

Answer:

( 3 x − 2 ) ( x − 2 ) = 0

Set  3 x − 2  equal to  0  and solve for  x .

x = 2 3

Set  x − 2  equal to  0  and solve for  x .

x = 2

The solution is the result of  3 x − 2 = 0  and  x − 2 = 0. x = 2 3 , 2

The result can be shown in multiple forms.

Exact Form: x = 2 3 , 2

Decimal Form: x = 0. ¯ 6, 2

Step-by-step explanation: There you go hope it helps

ANSWER FOR BRAINLIEST!!! NOW!!!

Answers

Answer:

1st automobile

Step-by-step explanation:

Because it travel 271.8 miles on 10.1 gallobs of gasoline and the mile per gallon is 26.91 and the 2nd automobile travels 257.9 on 11.1 gallons of gasoline and the miles per gallon is 23.23 so the first auto mobile gets better gas mileage cuz it goes more miles and uses less gas

part 1-Four friends each took a different path walking from the lunchroom to the gymnasium. The table shows the distance that each of them walked. Who walked the farthest? Rowan- 150 yd Janelle-429 ft 8 in. Domingo-130 yd 2 ft
Lydia-460 ft

part 2-Write the distance Domingo walked in feet and inches.

Answers

Answer:

Part 1= Lydia

Part 2= 392 ft or 4704 in

Step-by-step explanation:

let me know if you need any other help:)

Which numbers are equivalent to 0.24?

Choose all answers that are correct.


A.



B.
2.4%


C.



D.
24%

Answers

Answer:

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

Since O.24 converted to a fraction is 24/100. 24% is equal to 0.24

please send help 20 points ,

Answers

Answer:

C.

A.

E.

B.

Hope it will help :)

HELPPP, please:) super easy

Answers

Answer:

6.8

Step-by-step explanation:

Answer:

Just by approximating without a calculator, you would know it under the sqrt of 49, so it should be less than 7 and greater than 6 (sqrt of 36)

With a calculator and rounding, you will find that the answer is 6.8.

Which relation describes a function?
{(0,0), (0, 2), (2.0), (2, 2)}
{(-2, -3), (-3, -2), (2,3), (3, 2)}
{(2,-1), (2, 1), (3,-1), (3, 1)}
{(2, 2), (2, 3), (3, 2), (3, 3)}

Answers

Answer:

{(-2, -3), (-3, -2), (2,3), (3, 2)}

Step-by-step explanation:

A function is a set of ordered pairs in which no two pairs have the same first number.

In other words, an x cannot be paired with two y's.

A function takes an x and pairs it with one and only one y.

{(0,0), (0, 2), (2.0), (2, 2)} is not a function because it pairs 0 with both 0 and 2.

{(2,-1), (2, 1), (3,-1), (3, 1)} is not a function because it pairs 2 with both -1 and 1.

{(2, 2), (2, 3), (3, 2), (3, 3)} is not a function because it pairs 2 with both 2 and 3.

The function is b) {(-2,-3), (-3,-2), (2,3), (3,2)}

The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression represents the volume of the cylinder, in cubic units? 4πx2 2πx3 πx2 + 2x 2 + πx3

Answers

Answer:volume of the cylinder = 2π[tex]x^{3}[/tex]

Step-by-step explanation:

The height of a cylinder is twice the radius of its base.

Let the height of the cylinder = 2x

Let the radius of the cylinder = x

By formula, volume of the cylinder = π[tex]r^{2}[/tex] h

here r = x, h = 2x

substituting the values in the equation, we get

volume of the cylinder = π[tex]r^{2}[/tex] h =  π [tex]x^{2}[/tex] (2x)

volume of the cylinder = 2π[tex]x^{3}[/tex]

The expression that represents the volume of the cylinder is 2x³π.

What is the volume of the cylinder?

A cylinder is a three-dimensional object that is made up of a two circles that are attached to a rectangle.

Volume of a cylinder = πr²h

2xπx² = 2x³π.

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Tim purchased a random sample of clementines at a local grocery store. The 95% confidence interval for the mean weight of all clementines at the store is 76.6 grams to 90.1 grams. Interpret this confidence interval.

Answers

Answer:

Step-by-step explanation:

Confidence interval is constructed to provide an estimated for an unknown population parameter such as the mean and sometimes, the standard deviation. It is expressed as

Sample mean ± margin of error

From the confidence interval given, the lower boundary is 76.6 grams while the upper boundary is 90.1 grams. Therefore,

It means that we are 95% confident that the mean weight of all clementines at the store lies between 76.6 grams to 90.1 grams. Also, 95% of the confidence intervals constructed in this way would contain the true value for the population mean weight of all clementines at the store.

Final answer:

A 95% confidence interval for the mean weight of clementines at a local grocery store ranging from 76.6 to 90.1 grams means we are 95% confident the true average weight of all clementines falls within this range. This range is based on a random sample and provides an estimate of the population mean. The width of the interval reflects the estimate's precision.

Explanation:

A 95% confidence interval for the mean weight of clementines, which ranges from 76.6 grams to 90.1 grams, means that we are 95% confident that the average weight of all clementines available in the store falls within this range. This interval was determined based on a random sample of clementines purchased, which serves as a representative subset of the entire clementine population in the store.

The concept of a confidence interval allows researchers and statisticians to estimate the true mean of a population based on sample data. In this case, unless the true average weight of the clementines lies outside this range, which has only a 5% probability (100% - 95%), we can assume that our interval includes the true mean weight of all clementines in the store. This interpretation is common in statistics and is crucial for making informed decisions or predictions based on sample data.

The width of the confidence interval, from 76.6 to 90.1 grams, reflects the precision of our estimate. A narrower interval would indicate a more precise estimate of the true mean weight, but increasing precision usually requires a larger sample size or a more homogeneous population. The principles behind confidence intervals are fundamental in various fields, including scientific research, engineering, and business analytics, to make reliable inferences about population parameters based on sample statistics.

How would you classify the number zero (in the most narrow category)?

Answers

Answer:

It would be a rational number.

Step-by-step explanation:

Definitely not a natural number but it is a whole, an integer, a rational, and a real number. It may not be obvious that zero is also a rational number.

Points and their residual values are shown in the table. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 3.3, 5, 6.2, 9., 13. The third column is labeled residual with entries 0.68, 0.04, negative 1.1, negative 0.64, 1.02. Which point is farthest from the line of best fit?

Answers

Answer:

3, 6.2

Step-by-step explanation:

Just took the assignment.

The point that is farthest from the line of best fit is : ( 3, 6.2 )

X(values)       y(values)            residual

1                    3.3                       0.68

2                   5                          0.04

3                   6.2                       -1.1

4                   9                          -0.64

5                   13                        1.02

To determine the line is best fit we graph the  plot of x and y values  ( i.e. a plot of  the y values against the x values  )

attached below is the plot showing the line of best fit

Hence From the attached residual plot we can conclude that the point that is farthest from the line of best fit is : 3(x axis ) and 6.2 ( y - axis )

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Please help, the lockdown is really messing me up.​

Answers

Answer:

Height of the cuboid= 2.5 cm

Step-by-step explanation:

Volume of a cuboid = length× width ×height

=> 100=8×5× h

=

[tex]h = \frac{100}{8 \times 5} [/tex]

[tex]h = 2.5[/tex]

height of the cuboid= 2.5 cm

The weight, in grams, of eight different kiwis was used to create the box plot shown above. Which of the sets of numbers below matches the given box plot?
A.
Weights of Kiwis: 68, 73, 75, 75, 76, 76, 78, 80

B.
Weights of Kiwis: 68, 70, 75, 75, 75, 76, 77, 80

C.
Weights of Kiwis: 68, 72, 75, 75, 76, 76, 77, 80

D.
Weights of Kiwis: 68, 70, 72, 75, 75, 76, 78, 80

Answers

Answer:

Step-by-step explanation:

The answer is d because 75 is the medain of the kiwi fruit

The answer is 75 because it explain it

What is 3a2 + a2 added to a + 6?


Answers

The addition of 3a^2 + a^2 to a + 6 gives 3a^2 + a^2 + a +6.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

We have to find when 3a^2 + a^2 added to a + 6.

3a^2 + a^2 + a +6

This cannot be added further because they do not have any like terms.

Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.

Those terms which have same variables raised with same power are like terms.

For example, 5t^3 and 6t^3 are like terms since variable is same, and it is raised to same power 3.

Thus, the addition of 3a^2 + a^2 to a + 6 gives 3a^2 + a^2+ a +6

Learn more about simplification;

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[tex]4a^2 + a + 6[/tex] is the final expression represents the sum of the given terms.

To add the expressions 3a2 + a2 to a + 6, follow these steps:

Identify and group the like terms:3a2 + a2 for the squared termsa for the linear term6 for the constant termCombine the like terms:3a2 + a2 = 4a2Write down the final expression after addition:4a2 + a + 6

Thus, the result of adding the given expressions is[tex]4a^2 + a + 6.[/tex]

Terrance has $54.29 in his checking account. He needs to purchase a football uniform for $56.50. Should Terrence use his debit card or his credit card? Explain your reas

Answers

Answer:

credit because you can pay at the end of the month

i had this question before

if i can get brainliest that would be great

Why might this group of toys not be a valid sample? Check all that apply.

Answers

Answer:

The sample should represent all the toys produced throughout the day, not just the first and The sample should represent an entire week or month, not just a single day

Step-by-step explanation:

Answer:

B&D

Step-by-step explanation:

Trust me plssss

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