Find g(x), where g(x) is the translation 3 units down of f(x) = x2.
Write your answer in the form a(x - h)? + k, where a, h, and k are integers.
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Answers

Answer 1

Answer:

g(x) = x² - 3

Step-by-step explanation:

When doing a, h, and k, there are different stanoints to each of the variables.

in this case, since we are shifting down, we use k

we are moving 3 units down so we subtract 3 with no parentheses

so g(x) = x² -3

Answer 2

The translating function is g(x) = ( x+ 3)².

What is Translation?

In mathematics, a translation is the movement of a shape to the left or right and/or up or down. The translated shapes appear to have the same size as the original shape, and hence the shapes are congruent. They were simply relocated in one or more directions. There is no change in the shape because it is just moved from one location to another.

We have function,

f(x) = x²

and, g(x) = a horizontal translation of 3 units left.

Now, we have to subtract 3 from the x coordinate of g(x).

So, g(x) = f(x-h) where h = -3.

Thus, the translating function is g(x) = ( x+ 3)².

Learn more about Translation here:

https://brainly.com/question/17592356

#SPJ5


Related Questions

9/2 as a fraction and what is 2/3 reciprocal







Answers

9/2 is already a fraction, and the reciprocal of 2/3 and 3/2

Answer:

9/2 = 4 1/2 , 2/3 = 3/2

Step-by-step explanation:

The reciprocal of a fraction is switching the numerator and the denominator.

2/3, switched is 3/2.

To find the mixed form of an improper fraction, you divide the numerator by the denominator.

Like this, 9/2 = 4.5

4 is the whole.

So, 4 would be the whole number.

Then there is 1 left over.

You keep the denominator.

So it would be 4 1/2.

Find the total surface area of the net bellow
1. 102.4 cm2
2. 357.4 cm2
3. 22.4 cm2
4. 3502.4 cm2

Answers

Answer: 102.4 cm^2

Step-by-step explanation:

find the surface area of all of the rectangles

7.2(4)=28.8

7.2(2)=14.4

7.2(4)=28.8

7.2(2)=14.4

4(2)=8

4(2)=8

add

28.8+14.4+28.8+14.4+8+8=102.4

Need some help for this retake

Answers

its is 74 because you add all of them then subtract it from the total which in your case is 360

Answer:

74

Step-by-step explanation:

you add the numbers together you get 286 and the total degree of the shape is 360 so you subract 360 and 286 so you get 74

Find the zeros of the function f(x)=3x2−27.

Answers

Answer:

Step-by-step explanation:

Help me solve 2 and 4

Answers

Answer:

2. answer C

4. answer C

Step-by-step explanation:

hope this helped you :)

Answer: i know 4 but i coudint find 2 but 4 is (D)

20 mi
12 mi
b
What is the length of the missing leg?

Answers

Answer:

13

Step-by-step explanation:

thats my answer byusing calculato

how to do this question ​

Answers

9514 1404 393

Answer:

  7 days

Step-by-step explanation:

(a) Filling in the given information will result in two equations in the two unknowns. Dividing one by the other will tell you the value of b.

n=2

  1.8 = A₀·b²

n=3

  2.4 = A₀·b³

Dividing the second equation by the first gives ...

  2.4/1.8 = (A₀·b³)/(A₀·b²) = b

  4/3 = b

__

(b) Substituting this into the first equation, we can find A₀.

  1.8 = A₀·(4/3)²

  1.8(9/16) = A₀ = 1.0125

A₀ is the value of A when n=0. It is the area of the patch at the beginning of observation, before any days passed.

__

(c) The area will be 7 cm when ...

  1.0125·(4/3)^n = 7

  (4/3)^n = 7/1.0125 . . . . . . . . . . . . divide by A₀

  n·log(4/3) = log(7/1.0125) . . . . . . take logarithms

  n = log(7/1.0125)/log(4/3) ≈ 6.72092

It will take about 7 days for the area of the patch to exceed 7 cm.

The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school Chili Cook-Off contest. All the pans of cornbread are square. A pan of cornbread costs $12. The customers can buy any fractional part of a pan of cornbread and pay that fraction of $12. For example, ½ of a full pan costs ½ of $12.

Answers

Answer:

1 / 12 ; $1

Step-by-step explanation:

Pan was 1/4 full and she buys 1/3 of the cornbread in the pan

The fraction of cornbread she buys is :

1/3 of 1/4

1/3 * 1/4 = 1/12

Hence, she bought 1/12 of cornbread

The amount she pays :

Cost of 1 pan = $12

Therefore, the cost of 1/12 of a pan will be :

1/12 * $12 = $1

Hence, she'll pay $1

HELP!!!! If u answer in less then 4 minutes i will give lots of points! PLEASE
Which numbered choice below
represents the equation used to
develop the chart of values seen
at the right?
1) x + y = -5 2) y = -x + 7
3) x - y = 5 4) y = x + 5

Answers

Answer:

the answer would be (4) or y=x+5

Step-by-step explanation:

-4+5 = 1 y=1 check

0+5=5 y=5 check

and so on.

Nine more than the product of a number and 3 is equal to 7.

Answers

Answer:

This phrase translates to the mathematical expression:

9 + (N x 3) = 7

If you want to solve for the missing number,

N x 3 = -2

N = -2/3

How would you show a rate of change of 3.5 meters per minute on a graph?

Answers

Answer:

i don't know

Step-by-step explanation:

A.none
B.vertical
C.Adjacent
D.Complementary
E.Obtuse

Answers

Answer:

C. Adjacent

Step-by-step explanation:

I’m just typing this to get points don’t mind this lol

Which statement Is always true?
The sum of two Irrational numbers is rational.
The product of a rational and irrational number is rational.
The sum of two rational numbers is irrational.
The product of two rational numbers is rationall

Answers

Answer:

D) The product of two rational numbers is rational.

What is the value of the expression 3b+20 for b=30

Answers

Answer:

110

Step-by-step explanation:

3×30=90

90+20=110

hope this helps

plz can i get brainliest:)

Find the missing length of the triangle
20 cm
12 cm

Answers

The shape on the left is a square with side length of 12 cm

This means the height of the triangle is 12cm.

Knowing the height and the hypotenuse using the Pythagorean you can solve for the base.

20^2 = 12^2 + x^2

400 = 144 + x^2

Subtract 144 from both sides:

256 = x^2

Take the square root of both sides

X = sqrt(256)

X = 16

X = 16

h e l p
Zayn plans to deposit $850 into a savings account that pays 2.4% interest compounded annually. Angelo plans to deposit $860 into an account that pays 2.4% simple interest. They both plan to leave the money invested for 4 years. How much more money will Zayn have than Angelo at the end of the 4 years?

Answers

Answer:

Zayn= $928.72

Angelo= $880.64

Zayn has 48.08 more than Angelo.

Step-by-step explanation:

Answer:

zayn- 934.58

angelo- 880.64

Step-by-step explanation:

URGENT!!!! A ship sails due east from point A for 30 miles. It then
adjusts its course 10° to the north and travels 20 miles to point
B. How far is point A from point B? Estimate the answer to the
nearest tenth. Don't forget the units.

Answers

Hopefully this helps

1/3 divided by 4 what is the awnser for this equation

Answers

Answer:

1/12

Step-by-step explanation:

Hope this helps :)

Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?

Answers

Answer:

6 oz

Step-by-step explanation:

https://brainly.in/question/28460456

Answer:

options on graph:

lceberg- 40%

romaine- 27%

spinash- 15%

arugula- 12%

carrots- 6%

answer is C.   is 18oz.

Step-by-step explanation:

multiply 64 x .27%= 18oz

Translate the sentence into an equation.
The sum of 5 times a number and 9 is equal to 4.

Answers

The answer would be 5n+9=4 hope that helps

Lana bought a sports car for $75,700. If the value of her car decreases 4.3% annually.
When using the exponential DECAY formula, what would be the value of r?

Answers

Given:

The initial value of the car = $75,700

Decreasing rate = 4.3%

To find:

The value of r in the exponential DECAY formula.

Solution:

The exponential decay formula is:

[tex]y=a(1-r)^t[/tex]

Where, a is the initial value, r is the rate of decay on decimal and t is the time period.

The initial value of the car is $75,700 and its value decreases 4.3% annually. So,

[tex]a=75,700[/tex]

[tex]r=\dfrac{4.3}{100}[/tex]

[tex]r=0.043[/tex]

The required exponential decay formula is:

[tex]y=75,700(1-0.043)^t[/tex]

Therefore, the value of r in the exponential decay formula is 0.043.

turn 2 3/4 into an improper fraction

Answers

Answer:

11/4

Step-by-step explanation:

Multiply the denominator by the whole number and add it to the numerator and keep the denominator the same therefore it would be 11/4.

Solve for n. n =
Fast plz

Answers

Answer:

24

Step-by-step explanation:

360 degrees, so 2+6+5+2=15

360/15=24

n=24

To rent some equipment from a local hardware store, it costs $65 for 8 hours. To rent it for 12 hours, it costs $85. If the rate of change is constant, find the rate of change (cost per hour).

Answers

Answer:

it costs 7-8$ per hour

Step-by-step explanation:

the answer is estimated

HELP!!!! I NEED TO SUBMIT THIS WITHIN 3 HOURS!!!!!!
At a dinner party, two desserts are being served. Six of the guests choose cheesecake, and eight of the guests choose apple pie. Write two associated part-to-whole ratios for this situation, in simplest form. Then, interpret these ratios within the situation.

Answers

Answer:

6:8, 3:4

hope this helps, im not sure if im correct tho sorry

Step-by-step explanation:

Pls answer quick!
Choose the correct simplification of the expression (a^2/b^5)^3
A. a to the 6th power over b to the 15th power

B. a to the 5th power over b to the 8th power

C. a over b to the 15th power

D. a6b15

Thanks <3

Answers

Answer:

D.......................

☽. can someone help me <3?

Answers

Answer:

84.9

Step-by-step explanation:

Ralph has a cylindrical container of parmesan cheese. The diameter of the base of the container is 2.75 inches, and the height is 6 inches. What is the area of a horizontal cross section of the cylinder to the nearest tenth of a square inch?

Answers

Answer:

The solution is given below:

Step-by-step explanation:

The computation of the area of the horizontal cross section of the cyclinder is given below:

In the case when it is a circle

The area of the circle is

= πr^2

= 3.14 × (2.75 ÷ 2)^2

= 11.873 inches^2

In the case when it is a rectangle

The area of the rectangle is

= 6 × 2.75

= 16.5 inches^2

Hence, the above show the calculations

The area of the horizontal cross section.

When circular is [tex]11.873 inches^2[/tex]

When it is rectangular [tex]16.5inches^2[/tex]

The computation of the area of the horizontal cross section of the cylinder

What is the formula of the area of the circle?

The area of the circle is[tex]=\pi r^{2}[/tex]

use the given value in above formula we get,

[tex]= 3.14 \times (\frac{2.75}{2} )^2[/tex]

[tex]= 11.873 inches^2[/tex]

when it is a rectangle then the area of the rectangle is

[tex]= 6 \times 2.75[/tex]

[tex]= 16.5 inches^2[/tex]

Therefore,the area of the horizontal cross section.

when circular is [tex]11.873 inches^2[/tex]

When it is rectangular [tex]16.5inches^2[/tex]

To learn more about the area of the cross section visit:

https://brainly.com/question/24592106

HELP HELP HELP HELP

Answers

Answer:

24

Step-by-step explanation:

help me just

plz

hmmm

or let me die

What is the surface area of the prism in square centimeters

Answers

Ok I just have the phone number for my dad to go it
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