Which function below will translate f(x) = x2 left 5 units and down 1 unit?

Answers

Answer 1

Answer:

its c. trust me

Step-by-step explanation:

Answer 2

The resultant function of the parent function f(x) = x²,  which is translate left 5 units and down 1 unit, is  f(x) = (x+5)^2-1.

What is transformation of a function?

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.

The given function is,

[tex]f(x) = x^2[/tex]

It has to be translated left 5 units. For this we have to add 5 units in the above function. Thus the function become,

[tex]f(x) = (x+5)^2[/tex]

Now the function is translated down 1 unit. For this we have to substract 1 units outside of the above function. Thus the function become,

[tex]f(x) = (x+5)^2-1[/tex]

Hence, the resultant function of the parent function f(x) = x²,  which is translate left 5 units and down 1 unit, is  f(x) = (x+5)^2-1.

Learn more about the transformation of a function here;

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Related Questions

please help me ASAP !!

Answers

Answer:

Step-by-step explanation:

<1+<2=90 complementary

<1=4 times <2

X+4x=90

5x=90

X=18

<1=18×4=72 degrees

<2=18 degrees

<1=<3 because they are vertical

Do <3= 72

<3+<4=180 because they are supplementary

72+<4=180

<4=108 degrees

<3=72 degrees

If mVQ=(y+7), mQR=(x+11), mRS=(3y),and mST=65,findthevaluesofxandy

Answers

Answer:

The values of x and y are x = 25 and y = 18

Step-by-step explanation:

The measure of an arc is equal to the measure of the central angle subtended by it

In circle W

∵ W is the center of the circle

∵ m∠QWS = 90°

∵ ∠QWS is subtended by arc QS

- Use the rule above

∴ m∠QWS = m arc QS

m arc QS = 90°

∵ m arc QS = m arc QR + m arc RS

∵ m arc QR = (x + 11)°

∵ m arc RS = (3y)°

- Add them and equate the answer by 90

∴ (x + 11) + (3y) = 90

- Subtract 11 from both sides

x + 3y = 79 ⇒ (1)

∵ VT passes through W

∴ VT is a diameter in circle W

- Diameter divides the circle into two equal arcs the measure

   of its arc is 180° because the measure of the circle is 360°

∴ m arc VQRST is 180°

∵ m arc QRS = 90°

∵ m arc VQRST = m arc VQ + m arc QRS + m arc ST

- Substitute the measures of arc VQRST and QRS

∴ 180 = m arc VQ + 90 + m arc ST

- Subtract 90 from both sides

90 = m arc VQ + m arc ST

∵ m arc VQ = (y + 7)°

∵ m arc ST = 65°

90 = (y + 7) + 65

- Add like terms in the right hand side

∴ 90 = y + 72

- Subtract 72 from both sides

18 = y

Substitute the value of y in equation (1) to find x

∵ x + 3(18) = 79

∴ x + 54 = 79

- Subtract 54 from both sides

x = 25

The values of x and y are x = 25 and y = 18

Shanti wrote the predicted values for a data set using the line of best fit y = 2.55x – 3.15. She computed two of the residual values.

What are the values of a and b?
a = 0.4 and b = –0.15
a = –0.4 and b = 0.15
a = 8.6 and b = 14.25
a = –8.6 and b = –14.25

Answers

[tex]a=4.1-4.5=-0.4\\b=7.2-7.05=0.15[/tex]

The values of a and b are,

⇒ a = -0.4 and b = 0.15

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, Residual value is the difference between the observed value of the dependent variable (y) and the predicted value (ŷ) in a data set.

i.e. Residual value = given value - predicted value

From the table, the residual value corresponding to a has 4.1 as the given value and 4.5 as the predicted value.

Therefore, We get;

a = 4.1 - 4.5

a = -0.4

Similarly, the residual value corresponding to b has 7.2 as the given value and 7.05 as the predicted value.

Therefore, We get;

b = 7.2 - 7.05

b = 0.15

Therefore, a = -0.4 and b = 0.15

Learn more about the mathematical expression visit:

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Which number line shows the correct placement of 20%, 1/3, and 2/3?

Answers

Answer with Step-by-step explanation:

We are given that

20%

When we change percent into fraction we will divide the percent by 100

[tex]\frac{20}{100}=\frac{1}{5}[/tex]

[tex]\frac{1}{3}[/tex]

[tex]\frac{2}{3}[/tex]

We have to find the line which shows the correct placement of given numbers.

Lcm(3,5)=15

[tex]\frac{1\times 3}{5\times 3}=\frac{3}{15}[/tex]

[tex]\frac{1\times 5}{3\times 5}=\frac{5}{15}[/tex]

[tex]\frac{2\times 5}{3\times 5}=\frac{10}{15}[/tex]

Calculate the value of m

Answers

(2m + 12) first put it into expression form or
(3m - 2) just in form to solve for m .
2m + 3m = 5m combine like terms .
12 - 2 = 10
5m / 10. Divide both sides by 5m
m = 2 <<<<< ANSWER .

I’m really lost...........

6^5 x 5^-7

Answers

Answer:

0.0995328 OR 7776 /78125

It's okay to be a little lost. When I have exponents and all this "fun" stuff, I use Desmos graphing calculator. It will help you GREATLY. Let me know if you wan the link...

Solve the proportion. 2/x-3 = 5/x
a. 5
b. 2
c.10
d.15

Answers

Answer: a.5

Step-by-step explanation: You cross multiply and get 2x=5x-15. You then simplify this, getting -3x=-15. So the answer is 5.

Jeff is going to cut this shape out of a piece of paper. He will fold the paper on the dotted lines and connect all the edges. What solid will Jeff have when he is done?
A) square prism
B) square pyramid
C) triangular prism
Eliminate
D) triangular pyramid

Answers

the answer here is D
The answer is D I think


The width of a box is 12 cm. The length of the box is two times the width. The height is 10 cm longer than the length. What is the volume of the box? (V = lwh)

A) 3,528 cm3
B) 9,792 cm3
C) 120 cm3
D) 240 cm3

Answers

Answer:

V = 9,792 cm

Step-by-step explanation:

hope that i helped!

Answer:

B) 9792

24*12*34

Normally a game is $33.00. But the new edition version is going to be $36.62. This is an increase of what percent.

Answers

Answer: 10.9697% increase

Hope this helped

The answer would be 10.97%

Write the word sentence as an inequality.
a number y added to 5.2 is less than 23
The inequality is: ______?​

Answers

5.2 + y < 23

Then solve for y to know the number.

Answer:

[tex]y+5.2<23[/tex]

Step-by-step explanation:

Add y and 5.2 and use the less than symbol < to show that 23 is greater than the sum of y and 5.2.

If you have trouble remembering the directions of < > and what they mean, my teacher taught me that the alligator wants more food. The "mouth" opens towards the biggest value.

Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window.
H represents the height of the tree (in centimeters),
t years since Renata moved in.
H=210+33t
How fast does the tree grow?

Answers

Answer:

33 cm per year

Step-by-step explanation:

I've already answed this question in the post:

https://brainly.com/question/15882266#readmore

Consider the given function:

[tex]h(t)=210+33t[/tex]

From the linear function, 210 is the height of the tree from when Renata moved to her new home, and 33 states that the tree grows 33 cm per year.

So "How fast does the tree grow?"

The tree grows 33 cm per year.

Which formula should be used to find the length of EF

Answers

Answer:

The answer is D, the distance formula.

Step-by-step explanation:

The distance formula on answer choice D is how you find the distance between two points.

The diameter of a cake is 12 centimeters and the area of one slice is 4π cm2. in terms of π how many full slices can you cut out of the cake

Answers

Answer:In terms of π 9 full slices can be cut out of the cake.

Step-by-step explanation:

Gievn, the diameter of a cake is 12 cm

Radius of the cake = 6 cm

area of one slice = 4π [tex]cm^{2}[/tex]

in terms of π how many full slices can you cut out of the cake = ?

Area of the cake = area of the circle = π[tex]r^{2}[/tex] = π[tex](6)^{2}[/tex] = 36 π

Area of n slices = area of the cake

(4π ) n = 36 π

n = 9

In terms of π 9 full slices can be cut out of the cake.

Answer:

9 full slices can be cut out of the cake.

Step-by-step explanation:

A cube has a mass of 17 g. Each side of the cube measures 1.8 cm. What is the cube's
density?

Answers

Answer:

your answer would be 8.1 g/ cm3

Step-by-step explanation:

hope this helps you.

Answer: 8.1 g/ cm3


I think I’m sure is correct but hopefully it helps

if a tangent ratio is 4/20, what is the measure of the tangent? A) 0.2
B) 3.8
C)8.2
D) 5.2​

Answers

Answer:

A

Step-by-step explanation:

The tangent of 4/20 is 0.20271 and u round to the 4th digit

What is the sum or difference?
2y^5-4y^5

Answers

(2y)^5 - (4y)^5
= 32y^5 - 1024y^5
=-992y^5

Which equation describes the circle having center point (3,5) and radius r = 2
in standard form?

Answers

Answer:

x^2 + y^2 - 6x  - 10y + 30 = 0.

Step-by-step explanation:

In factor form the general equation is:

(x - h)^2 + (y - k)^2 = r^2 where  (h, k) is the centre and r = the radius.

So here we have:

(x - 3)^2 + (y - 5)^2 = 4.

Converting to Standard Form:

= x^2 - 6x + 9 + y^2 - 10y + 25 = 4

x^2 + y^2 - 6x  - 10y + 9 + 25 - 4 = 0

x^2 + y^2 - 6x  - 10y + 30 = 0.

Damari needs to paint the circular concrete mural at the park. The mural has a diameter of 45 feet. A gallon of paint covers approximately 300 square feet. Each gallon is $18.99. How much will Damari spend in order to paint the mural? Use 3.14 to approximate π .

Answers

Answer:

$100.647

Step-by-step explanation:

Diameter = 45ft

Radius = diameter / 2 = 45 / 2 = 22.5ft.

1 gallon of paint covers 300ft²

1 gallon cost $18.99

The total area of the mural = πr² (since it's circular and area of a circle = πr²)

Area = πr²

Area = 3.14 * (22.5)²

Area = 1589.625ft²

The total area of the mural = 1589.625ft²

1 gallon of paint covers 300ft²

X gallons of paint will cover 1589.625ft²

Making x the subject by cross multiplying

X = (1 * 1589.625) / 300

X = 5.29875 gallons.

5.3 gallons will be required to paint 1589.625ft²

But 1 gallon costs = $18.99

5.3 gallons will cost $ y

y = (5.3 * 18.99) / 1

y = $100.647

Damari will spend $100.647 to paint the mural.

What is the degree of a constant term?

Answers

Answer:

I think it's answer is 0. in case of constant polynomials

Pls solve!!!! ill give brainlyist

Answers

The answer is 20.83 since you have to round

Seth solved a quadratic equation. His work is shown below, with Step 3 missing.
What could Seth have written as the result from Step 3?
+ (x 1)2 + 5 = 23
5(x - 1)2 = 18
Step 1
(x - 1)2 = 36
Step 2
Step 3
x = -5 or = 7
Step 4

Answers

Answer:

|x - 1| = 6

Step-by-step explanation:

After step 2, we have that:

(x - 1)^2 = 36

and after step 4, we have the results:

x = -5 or x = 7

After step 2, what we can do in step 3 is: use square root in both sides of the equation:

|x - 1| = 6

This equation can be split in two:

x - 1 = 6 -> x = 7

x - 1 = -6 -> x = -5

So Seth could write this equation in step 3:

|x - 1| = 6

The value of x from the given expression are 5 and 7

Solving expression for the variable

Given the expression

5(x - 1)^2 = 18

Step 2 as shown is given as:

(x - 1)^2 = 36

Take the square root of both sides

√(x - 1)^2 = √36

x - 1 = 6

The solutions are x - 1 = 6 and x + 1  = 6

x = 6 + 1 = 7

x = 6 - 1

x = 5

Hence the value of x from the given expression are 5 and 7

Learn more on expression here: https://brainly.com/question/22048677

If x = 48 cm and y = 55 cm, what is the length of w?
A. 77 cm
B. 37 cm
c. 103 cm
D. 73 cm​

Answers

Final answer:

The length of 'w' is approximately 73 cm.

Explanation:

To find the length of 'w,' we can use the Pythagorean Theorem since 'w' is the hypotenuse of a right triangle with legs 'x' and 'y.' The Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs. So, we have:

w^2 = x^2 + y^2

Substituting the given values, we get:

w^2 = 48^2 + 55^2

w^2 = 2304 + 3025

w^2 = 5329

Taking the square root of both sides, we find:

w = √5329

w ≈ 73 cm

Final answer:

After performing the calculations, the hypotenuse w is found to be 73 cm, which corresponds to option D.

Explanation:

To find the length of w, which is the hypotenuse of the right-angled triangle with sides x = 48 cm and y = 55 cm, we use the Pythagorean theorem.

This theorem states that in a right triangle, the square of the length of the hypotenuse (w) is equal to the sum of the squares of the lengths of the other two sides (x and y).

According to the theorem:

w² = x² + y²

Plugging in the given values:

w² = 482 + 552

w² = 2304 + 3025

w² = 5329

To find w, we take the square root of both sides:

w = √5329

w = 73 cm

Therefore, the length of w is 73 cm, which corresponds to option D.

The unit cost per pound for green beans is represented by the
equation y = 1.2x. Which of these points is NOT on the graph of this
proportional relationship?
A( 0,0)

8 (2.24)

C (4.48)

D (12.10)

Al chose A as the correct answer. How did he get that answer?​

Answers

The point which is not on the graph is (12, 10)

Using the equation given :

y = 1.2x

Comparing each point:

(0, 0)

y = 1.2(0)

y = 0 (correct)

b.)

(2,2.4)

y = 1.2(2)

y = 2.4 (correct)

c.)

(4, 4.8)

y = 1.2(4)

y = 4.8 (correct)

d.)

(12, 10)

y = 1.2(10)

y = 12 (Incorrect)

The point which is not on the graph is (12, 10)

Billy has a collection of baseball cards that he has separated into two different value categories. His common cards
are worth $0.50 each, while his premium cards are worth $1.00 each. Together, Billy's entire baseball card collection
of 124 cards is worth $81.50.
Which of the following systems of equations models Billy's baseball card collection?

Answers

Answer:

sdfghj

Step-by-step explanation:

idekkk

81.50=(.50x+1.0y)
124=x+y

dan made $242 for 11 hours of work. At the same rate , how many hours would he have to work to make $ 154

Answers

Answer: 7 hours to make $154.

Step-by-step explanation: First we want to know how much Dan makes in 1 hour of work. To do this simply divide 242 by 11. 242/11 = 22, or $22 per hour of work.

T find how many hours he would have to work to make $154, simply divide 154 by 22. 154/22 = 7, or 7 hours of work.

So, Dan will have to work 7 hours to make $154.

Final answer:

Dan earns $22 per hour, so to make $154, he would need to work for 7 hours at that same rate.

Explanation:

Dan made $242 for 11 hours of work. To calculate the rate of pay per hour, we would divide $242 by 11 hours, which gives us a rate of $22 per hour. The question asks how many hours Dan would need to work to make $154 at the same rate. To find this, we divide $154 by the hourly rate of $22.

$154 ÷ $22 per hour = 7 hours

Therefore, Dan would have to work for 7 hours to make $154 at the same rate of pay.

jennifer walks 8 miles in the same time she can jog 13 miles. if her jogging speed is 8mph faster than her walking speed, how fast does she walk?

Answers

Answer:

12.8mph

Step-by-step explanation:

Let 'w' represent her walking speed

->if her jogging speed is 8mph faster than her walking speed

Jogging speed=  w+8

Using the time equation i.e time = dist/speed

For walking when distance is 8miles

time = dist / speed= 8/w hrs

For jogging when distance is 13miles

time = dist / speed= 13/(w+8) hrs

Equating the time

jog time = walk time

13/(w+8) = 8/w

By cross multiplying it

13w = 8w + 64

5w = 64

w=64/5

w=12.8mph

Therefore, 12.8mph is her walking speed.

This is to the last question I put: Which graph represents the function?
(Function shown in the first image)

Answers

Answer:

.

Step-by-step explanation:

 

If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year?

Answers

The simple interest will be 18$

Solve for an angle in right triangles help

Answers

Answer:

64.62 degrees

Step-by-step explanation:

Cosine adjacent/hypotenuse (sides)

CosB = (3/7)

B = [tex]Cos^{-1}[/tex](3/7)

B = 64.62

Answer:

64.62

Step-by-step explanation:

AC²= AB²-BC²

[tex]AC = \sqrt{ {(7)}^{2} - ({3)}^{2} } [/tex]

[tex] = \sqrt{49 - 9} = \sqrt{40} = 2 \sqrt{10} [/tex]

[tex] \tan(B) = \frac{AC }{ BC} [/tex]

[tex] B = { \tan}^{ - 1} \frac{2 \sqrt{10} }{3} [/tex]

[tex] = 64.62[/tex]

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