which translation maps the graph of the function f(x)=x^2 onto the function g(x)=x^2-6x+6
Answers
x²-6x+9+6-9=(x-3)²-3
compared with f(x)=x², g(x)=(x-3)²-3 is shifted three units to the right and three units down.
Answer:
Translation from (0,0) to (3,-3), 3 units down, and 3 units to the right.
Step-by-step explanation:
The Geometric Transformation called Translation of this parabola f(x)=x² is obtained, firstly by shifting it down 3 units simply adding -3 units as the independent term.
The Translation of the Parabola is counted by its vertex. y=x² (0,0) to y=x²-6x+6 (3,-3).
Algebraically:
So, f(x)=x² -3
Looking at g(x)=x²-6x+6, we still need to make it down after the curve intercept y-axis. b<0
Then, let's shift it three units to the right so its vertex hit the point 6, as y-coordinate, we have to add -3. If we want to add to the right sum negative value, then square it:
y= (x-3)²-3
y=x²-6x+9-3
y=x²-6x+6
Related Questions
How does a reflection affect the properties of a two-dimensional figure ?
Answers
Please tell me if I’m correct I hope this help you
Therefore in two-dimensional figure reflection show mirror image of flipped
A reflection affect the properties of a two-dimensional figure.
What is the reflection?A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.
In two dimensional figure reflection affects
and it is it gets mirrored or flipped.
Therefore in two-dimensional figure reflection show mirror image of flipped.
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Hannah wants to compare the densities (the ratios of mass to volume) of different brands of gelato. What would be an appropriate unit for Hannah's purpose?
choose 1 answer
A
dollars per gram
B
grams per milliliter
C
liters per kilogram
D
liters per dollar
Answers
grams are units of mass
milliliters are units of volume
so if density = mass / volume then grams/milliliters would be the appropriate units
hope this helps xx
What is these answer
Answers
.. A = (1/2)bh
Filling in the given values, you get
.. A = (1/2)*22*9
.. A = 99
Elevators have safety limits for how much weight they can lift. The elevator at the Terrace Hotel can hold up to 2,100 pounds. write an equation or inequality that represents the allowable weight on the elevator at the Terrace Hotel. Graph the solution to the equation or inequality you wrote on the number line. Explain your answer.
Answers
[tex]m \leq 2100 pounds[/tex]
The graph is given on the picture. The blue line marks maximum allowed mass, the red line marks actual mass. Grey part contains all allowed values of a mass.
The picture below shows a container that Sue uses to freeze water: A cylinder is shown with base diameter of 4 centimeters and the height as 6 centimeters. What is the minimum number of identical containers that Sue would need to make 2,000 cm3 of ice? (Use π = 3.14.) (1 point) 12 18 27 7
Answers
Answer:
[tex]27\ containers[/tex]
Step-by-step explanation:
step 1
Find the volume of one container (cylinder) is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=4/2=2\ cm[/tex] -----> the radius is half the diameter
[tex]h=6\ cm[/tex]
substitute
[tex]V=(3.14)(2^{2})(6)=75.36\ cm^{3}[/tex]
step 2
By proportion
Find the the minimum number of identical containers that Sue would need to make [tex]2,000\ cm^{3}[/tex] of ice
[tex]\frac{1}{75.36}=\frac{x}{2,000}\\ \\x=2,000/75.36\\ \\x= 26.5\ containers[/tex]
Round to the nearest whole number
[tex]26.5=27\ containers[/tex]
Answer: 27
Step-by-step explanation:
Given: The height of the cylindrical container = 6 cm
Diameter of container = 4 cm
Then the radius of the container = [tex]\frac{4}{2}=[/tex]2 cm
Now, the volume of the cylindrical container is given by :-
[tex]\text{Volume}=\pi r^2 h\\\\\Rightarrow\text{Volume}=(3.14)(2)^2(6)=75.3982236862\approx75.4\ cm^3[/tex]
Now, the minimum number of identical containers that Sue would need to make 2,000 [tex]cm^3[/tex] of ice is given by:-
[tex]\frac{2000}{75.4}=26.525198939\approx27[/tex]
Hence, the minimum number of identical containers that Sue would need to make 2,000 [tex]cm^3[/tex] of ice is 27.
What is the volume of a block of lead with a density of 11.4 grams per cubic centimeter and a mass of 456 grams?
Answers
40 cubic cm is the answer
The angles of a triangle are 28 degrees, 34 degrees, and x degrees. What is the value of x?
Answers
Lucy's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lucy
$5.75
per pound, and type B coffee costs
$4.10
per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of
$819.55
. How many pounds of type A coffee were used?
Answers
Answer:
I think it is $204.88, but I'm not positive.
Step-by-step explanation:
819.55 divided by 4
Which side lengths form a right triangle?
Choose all answers that apply:
(Answers in picture)
Answers
Option (C). 2, 2, √8, forms a right triangle.
Explanation:A right triangle is a triangle that has one angle measuring 90 degrees.
According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Therefore, to determine if a set of side lengths forms a right triangle, we can check if the sum of the squares of the two shorter sides is equal to the square of the longest side.
Option A: 4, 8, 124^2 + 8^2 = 16 + 64 = 80
12^2 = 144
The sum of the squares of the two shorter sides is not equal to the square of the longest side. Therefore, this does not form a right triangle.Option B: 2, 3, √5
2^2 + 3^2 = 4 + 9 = 13
(√5)^2 = 5
The sum of the squares of the two shorter sides is not equal to the square of the longest side. Therefore, this does not form a right triangle.Option C: 2, 2, √8
2^2 + 2^2 = 4 + 4 = 8
(√8)^2 = 8
The sum of the squares of the two shorter sides is equal to the square of the longest side. Therefore, this forms a right triangle.
Based on the calculations above, only option C, 2, 2, √8, forms a right triangle.
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The correct answer is: C. [tex]\(2, 2, \sqrt{8}\)[/tex]
Step 1
To determine which sets of side lengths form a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Step 2
Let's check each option:
A. [tex]\(4, 8, 12\)[/tex]
- [tex]\(4^2 + 8^2 = 16 + 64 = 80\)[/tex]
- [tex]\(12^2 = 144\)[/tex]
- [tex]\(80 \neq 144\)[/tex]
Therefore, option A does not form a right triangle.
Step 3
B.[tex]\(2, 3, \sqrt{5}\)[/tex]
- [tex]\(2^2 + 3^2 = 4 + 9 = 13\)[/tex]
- [tex]\((\sqrt{5})^2 = 5\)[/tex]
- [tex]\(13 \neq 5\)[/tex]
Therefore, option B does not form a right triangle.
Step 3
C. [tex]\(2, 2, \sqrt{8}\)[/tex]
- [tex]\(2^2 + 2^2 = 4 + 4 = 8\)[/tex]
- [tex]\((\sqrt{8})^2 = 8\)[/tex]
- [tex]\(8 = 8\)[/tex]
Therefore, option C forms a right triangle.
Which word best describes the numbers 10 and –10?
Opposites
Coordinate
Absolute Value
Expression
Answers
also because one is on the positive side and the other is on the negative side
hope this helps! :)
The sun of 2 and 3 is less than y.
Answers
2 + 3 = 5
5 < y
Hope I helped!
~ Zoe
HEEELLLLPPPPP PPPPLLLEAASE I GIVE BRAINLIST!
Answers
For every square foot of land, the depth decreases by 0.8 of an inch.
Hope this helps!
Rate of change = (21.4-19)/(0-3)=2.4/(-3) = -0.8 in of liquid / sq. ft
He's right. The previous answer was backwards. Now corrected.
Which expression finds the length of side x in this right triangle
Answers
Answer:the top right
Step-by-step explanation:
ANY NICE PERSON WANA SOLVE DIS?
3 sqrt 125x^10y^13+^3 sqrt 27x^10y^13
Answers
Answer:
Simplify each term.
Rewrite 125x10y13 as (5x3y4)3(xy).
Step-by-step explanation:
5x3y43√xy+3√27x10y13
Rewrite 27x10y13 as (3x3y4)3(xy).
Add 5x3y43√xy and 3x3y43√xy to get 8x3y43√xy.8x3y43√xy
i think.
The required simplified solution of the given expression is [tex]135x^{10}y^{13}\sqrt{15}[/tex].
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
[tex]= 3\sqrt{125x^{10}y^{13}}.3\sqrt{27x^{10}y^{13}}[/tex]
Simplifying
[tex]= 9x^{10}y^{13}[\sqrt{125}.\sqrt{27}} ]\\= 9x^{10}y^{13} \times 5\times3\sqrt{5}.\sqrt{3}\\=135x^{10}y^{13}\sqrt{15}[/tex]
Thus, the required simplified solution of the given expression is [tex]135x^{10}y^{13}\sqrt{15}[/tex].
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Greg is running a marathon while running he should drink 22 ounces of water per hour if he runs for 4 hours how much water should he drink
Answers
To determine how much water Greg should drink during his 4-hour marathon run, multiply the hourly water intake (22 ounces) by the number of hours (4), resulting in a total of 88 ounces of water.
The student asks about the amount of water Greg should drink while running a marathon for 4 hours, given that he should drink 22 ounces of water per hour. To calculate this, we simply multiply the amount of water he should drink per hour by the number of hours he will be running.
Multiply the amount of water needed per hour (22 ounces) by the total hours running (4 hours).
22 ounces/hour × 4 hours = 88 ounces.
Therefore, Greg should drink 88 ounces of water during his 4-hour marathon run.
Zach is filling his dogs bowl with water. Is it reasonable to say that Zach will need about 4 gallons of water?
Answers
If you were filling some buckets, you could say 4 gallons, but we’re talking about a bowl and at the most that will take just a few cups.
I hope this helps and please let me know if you need further explanation!
~Brooke❤️
Theoretical probability is the same thing as experimental probability.
True
False
Answers
✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧
✅ False!
✧･ﾟ: *✧･ﾟ:* Explanation: *:･ﾟ✧*:･ﾟ✧
❗ The answer is false because in Theoretical Probability you can not get the exact answer of what it would land on unless it was rigged because the answer will always be random like the Theoretical Probability may say they lose every time but they get that 1/100 chance and win so they can both be different depending on the vary of luck!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
The graph of the function f(x)=3/x+5 is shown below.
What is the vertical asymptote of the function?
A. x = –5
B. x = –3
C. x = 3
D. x = 5
A is the answer
Answers
x+5=0
Solving for x:
x+5-5=0-5
x=-5
The vertical asymptote is x=-5
Answer: Option A. x=-5
The vertical asymptote of the function f(x) = (3/x) + 5 is A. x = - 5
What are asymptotes?A line that, in analytical geometry, is an asymptote of a curve is one where, when one or both of the x or y coordinates go to infinity, the distance between the curve and the line approaches zero. An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and similar contexts.
By observing the graph we can conclude that the asymptote or more specifically the vertical asymptote of the function f(x) = (3/x) + 5 is at x equals to - 5.
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The diameter of an ancient chariot wheel is 2 meters. What is the approximate distance the chariot travels if the wheel rotates 120 times? Assume the wheel does not slip.
1,506.4 meters
753.6 meters
376.8 meters
240 meters
Answers
C= 2 pi r or C= d*pi
d=2 m
C=2*3.14=6.28
distance traveled=6.28 m*120=753.60 m
The approximate distance the chariot travels is 753.6 meters.
What is the distance the chariot travels?
The distance the chariot travels in one journey is equivalent to the circumference of the wheel.
Circumference of a circle = πD
Distance in 120 trips = πD x 120
3.14 x 2 x 120 = 753.6 meters.
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Which relationship describes angles 1 and 2?
Select each correct answer.
complementary angles
adjacent angles
supplementary angles
vertical angles
Answers
complementary angles and
supplementary angles
A passenger train and a freight train leave San Jose at 3 p.m., traveling in the same direction. The passenger train is going three times as fast as the freight train. At 6 p.m. they are 240 miles apart. How fast is each travelling?
Answers
So if x is the speed of the freight train and distance is 240 miles...
3(3x)-3x=240
9x-3x=240
6x=240
x=240/6
x= 40mph for the freight train..
passenger train is 3 times faster than the freight..
3×40=120mph
There is a 3 hour difference in travel time.
So if x is the speed of the freight train and distance is 240 miles...
3(3x)-3x=240
9x-3x=240
6x=240
x=240/6
x= 40mph for the freight train..
passenger train is 3 times faster than the freight..
3×40=120mph
I really need help on this!! God bless you!!
Answers
20 points and Brainliest if answered and explained!
Triangle ABC has the angle measures shown.
m∠A= (2x)°
m∠B= (3x)°
m∠C= (4x)°
Which statement is true about the angles?
A) m∠A= 20°
B) m∠B= 60°
C) ∠A and ∠B are complementary
D) m∠A+m∠C= 100°
Answers
We then have the following equation that is given by:
(2x) + (3x) + (4x) = 180
Clearing x we have:
9x = 180
x = 180/9
x = 20
Therefore we have:
m∠A = (40) °
m∠B = (60) °
m∠C = (80) °
Answer:
B) m∠B = 60 °
Answer: The actual answer to the question is m<A=20° (:
Step-by-step explanation:
Please answer This with the Right anawer
Answers
The lateral area is
.. 4*(1/2)*(1.5 cm)*(3 cm) = 9 cm^2
The total area is (2.25 +9) cm^2 = 11.25 cm^2 . . . . . 2nd selection
perform the translation of triangle ABC according to the vector DR. Find the coordinates of the image.
Answers
HELP 64 POINTS
Which data set does this stem-and-leaf plot represent?
{15, 19, 19, 20, 30, 33, 39, 41, 45}
{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
{5, 5, 8, 8, 9, 0, 0, 3, 3, 9, 1, 5}
{ 39, 33, 15, 18, 18, 20, 3, 19, 41, 45, 18}
Key: 1|5 means 15
Answers
Answer: {30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
Step-by-step explanation:
1. The key indicates you how to read the values of the stem-and-leaf plot. Then, 1|5 means 15.
2. Then, the first digit is written in the colum Stem and the second digit in the column Leaf.
3. Based on this information, you can write the data given in the stem-and-leaf plot, as following:
15, 15, 18, 18, 19 (The first digit is 1 and the second digit are: 5,5,8,8 and 9)
20 (The first digit is 2 and the second digit is 0)
30, 33, 33, 39 (The first digit is 3 and the second digit are: 0,3,3 and 9)
41, 45 (The first digit is 4 and the second digit are: 1 and 5)
3. Then, as you can see, the data set represented by the stem-and-leaf plot is:
{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
Answer:
{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
An arrow shot into the air is 160t -16^2 feet above the ground t is seconds after it is released. During what period of time is the arrow above 384 feet?
Answers
160t-16²=384; We want to find t, so we have to have t by itself.
160t-256=384
+256
160t= 640
640÷160=4=t
Let's make sure t is 4, so let's plug it in.
160(4)-16²=384
640-256=384
384=384
So, at 4 seconds, the arrow was above 384 feet.
A teacher would like to estimate the percentage of her students who play chess. Which method should the teacher use to select the sample?
A select every other student in her classes until she has selected a total of 30 students
B select all students who are currently in the chess club
C use a computer to randomly select 30 student IDs from all her students
D use a computer to randomly select 30 student IDs from all students
Answers
I have this same question And the answer is C. Did you get your answer already
Answer:
the answer is C.
Step-by-step explanation:
since shes trying to find HER students D is wrong and since she needs a random amout of kids it doesnt make sense to choose a and since shes trying to find the percentage of her kids that play chess it would make sense to choose ppl who are already in the chess club.
Caitlin had used more thank 2 pounds of clay to make a jar? Would the amount remaining have been more or less than your answer to Exercise 1?
Answers
Answer:
more than my Ans
Leslie need 48 ounces of charcoal. How many pounds should she buy?
Answers
48÷16=3
3 pounds
The 48 ounces of charcoal will be equal to 2.5 pounds
What is ounces?The ounce is the name of several different units of mass, weight or volume and is derived almost unchanged from the uncia.
We have 48 ounces of charcoal.
We know the conversion that:
[tex]\rm 1 \ Ounce= 0.0625\ Pounds[/tex]
[tex]\rm 48\ ounce=48\times 0.0625\time \ Pounds=2.5\ pounds[/tex]
So the 48 ounces of charcoal will be equal to 2.5 pounds.
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