Find g(x), where g(x) is the translation 7 units right of f(x)=x2. Write your answer in the form a(x–h)2+k, where a, h, and k are integers.

Answers

Answer 1

Answer:

[tex]g(x) =1(x + 7)^2 + 0[/tex]

Step-by-step explanation:

Given

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

Required

Determine g(x) where g(x) is a translation of f(x), 7 units to the right

When a point is translated to the right, the resulting point is:

[tex]x -> x + b[/tex]

Where b is the number of units to the right.

In this case:

[tex]b = 7[/tex]

So, we have:

[tex]g(x) = f(x +7)[/tex]

Solving f(x+7)

Substitute x + 7 for x in [tex]f(x) = x^2[/tex]

[tex]f(x + 7) = (x+7)^2[/tex]

So, we have:

[tex]g(x) = (x+7)^2[/tex]

To write in the form of [tex]a(x - h)^2 + k[/tex], we have:

[tex]g(x) =1(x + 7)^2 + 0[/tex]


Related Questions

HELP PLEASE!!! Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.95 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.

Answers

Answer:

67.43

Step-by-step explanation:

1.
4 sides equal sides and 4 right angles:
4 sides equal sides and 4 right angles

Answers

Answer:

a square

Step-by-step explanation:

Please write an equation

Answers

Answer:

y = [tex]\frac{3}{4}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line

m = [tex]\frac{5-2}{4-0}[/tex] = [tex]\frac{3}{4}[/tex]

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = [tex]\frac{3}{4}[/tex] x + 2 ← equation of line

Does anyone know this? Need it ASAP.

Answers

Answer: [tex]12*\sqrt{2}[/tex]

Step-by-step explanation:

We have the equation:

[tex]\frac{14}{\sqrt{2} } + \sqrt{50}[/tex]

we know that:

14*14 = 196

then:

14 = √196

[tex]\frac{\sqrt{196} }{\sqrt{2} } + \sqrt{50} = \sqrt{196/2} + \sqrt{50} = \sqrt{98} + \sqrt{50}[/tex]

Now, we can rewrite:

50 = 2*25

98 = 2*49

This is because we know that 49 and 25 are perfect squares, then:

[tex]\sqrt{98} + \sqrt{50} = \sqrt{2*49} +\sqrt{2*25} = \sqrt{2} *\sqrt{49} + \sqrt{2} *\sqrt{25}[/tex]

Now we can use the common factor √2 and get:

[tex]\sqrt{2} *\sqrt{49} + \sqrt{2} *\sqrt{25} = \sqrt{2}*(\sqrt{49} + \sqrt{25} )[/tex]

and we know that:

7*7 = 49

5*5 = 25

then:

[tex]\sqrt{2}*(\sqrt{49} + \sqrt{25} ) = \sqrt{2}*(7 + 5) = 12*\sqrt{2}[/tex]

the value of b is:

b = 12

What is the Range of
100, 75, 40, 90, 80, 100,
92, 88, 80, 84, 81?

Answers

Answer:

60

Step-by-step explanation:

100 is the greatest value, 40 is the lowest 100-40=60

Answer: 60 i think

Step-by-step explanation:

I can't figure out if it's B or d ​

Answers

Answer:

D

Step-by-step explanation:

the answer is going to be d

Write the following using algebraic notation, using the letter X for any unknown numbers

I think of a number, multiply by 2, the subtract 9

Answers

2x - 9

Multiply the number x by 2 is 2x
Subtract by 9 is - 9

Please plz help angles inside circles. and segments

Answers

Answer:

the first one

Step-by-step explanation:

find the measure of the angle.

Answers

Answer:

the awnser should be. 165

165° because it’s in the middle of 160 and 170

A line has a slope of 5 and passes through the point
(2, 0) . What
isitsequationin
slope -intercept
form?

Answers

Answer:

Step-by-step explanation:

The equation is mx+b=y.

M=slope (in this case 5)

x=x coordinates

b=y intercept

y=y coordinates

For the x and y coordinates, I'll use (2,0).

5(2)+_=0

10+_=0.

In this case, we only have one awnser, -10. Since 10+(-10) are the only ways to equal 0.

Hope this helps,

Help plsssssssssssssss

Answers

Answer:

45

Step-by-step explanation:

r

Answer:

8 centimeters is > 19 millimeters

Step-by-step explanation:

A parabolic mirror to be used in a
searchlight measures 40 centimeters tall
and 80 centimeters wide. It's light bulb
needs to be placed at the focus for the light
to magnify properly. Find the distance from
the vertex to the bulb.
Hint: Assume the parabola opens
downward and has its vertex at the origin.
PLEASE HELP !!!!

Answers

I’m sorry if I’m wrong I’d stay safe and let someone anwser tell u but I think 20

Whitney works for Interchim Inc selling purification equipment. She earns a base salary of $2200 per month
plus 2.5% commission on all her sales. If Whitney was able to sell goods valued at $63,000, what was her total
income for the month? (commission plus salary!)
I NEED HELP

Answers

Answer:

$60745

Step-by-step explanation:

2,5÷100×2200

=55

55+2200

=2255

therefore 63000-2255

= $60 745

2 1/4 x 1 1/2 x 5/3?????

Answers

Answer:

20 5/8

Step-by-step explanation:

here u gooooo that's the answer

The temperature during one day in Auckland decreases from 21°C to 17°C. Calculate the percentage decrease correct to 3 significant figures.

please i need a quick answer

Answers

Answer:

19.04%

Step-by-step explanation:

The temperature decreases from 21°C to 17°C.

We need to find the percentage decrease in the value of temperatures.

The percentage decrease in any value is given by :

[tex]\%=\dfrac{|\text{initial value-final value}|}{\text{initial value}}\times 100\\\\=\dfrac{21-17}{21}\times 100\\\\=19.04\%[/tex]

So, the required percentage decrease is 19.04%.

What is the simple interest on $360 borrowed for 30 months at 12.3%?

PLEASE SHOW HOW YOU SOLVEDIT!!! :D

Answers

Answer:

$110.70

Step-by-step explanation:

I=PRT

P (principal)=360

R(rate)=12.3%

T(time)=30 months (2 and half years)

I=360*12.3%*2.5

=$110.70

Just to note 12.3% is also 0.123 we sometimes change it into a decimal.

$110.70 is the answer good luck!

What is the answer!!!!!?

Answers

Answer:

29 degrees

Step-by-step explanation:

Given

<D = 2x+8

<A = 122

The sum of the adjacent angle of the trapezoid is 180 degrees

<D + <A = 180

2x + 122 = 180

2x = 180-122

2x = 58

x = 58/2

x = 29 degrees

Hence the value of x is 29 degrees

Factor each polynomial
36xy²-48x²y

Answers

Answer:

12xy(3y-4x)

Step-by-step explanation:

Please for the love of god or whatever, help

Answers

Answer:

[tex]sin 40 = \frac{x}{11}[/tex]

Step-by-step explanation:

[tex]sine = \frac{opposite}{hypotenuse}[/tex]

Side x is the opposite, since it is opposite the angle you are solving for.

Side y is the adjacent, since it is next to the angle you are solving for.

The side measuring 11 is the hypotenuse, since it is across from the right angle.

What kind of transformation on a coordinate grid does each statement describe?
b) The vertex at (x, y) moves to (x + 5, y + 3).

c) The vertex at (x, y) moves to (y, –x).

d) The vertex at (x, y) moves to (y, x).

Answers

b) translation (up 3, right 5)

c) rotation 90° clockwise

d) reflection over y=x

got some more and more

Answers

A and D are the answers

Stephanie took advantage of the interest-only financing from Rooms-To-Go and borrowed $2,000 with a 15 percent annual interest rate. How much will she have paid in interest after 8 months?

Answers

Answer: $200

Step-by-step explanation

Principal = $2000

Rate = 15%

Time = 8 months = 8/12 = 2/3 years

Interest = Principal × Rate × Time

= 2000 × 15% × 2/3

= 2000 × 15/100 × 2/3

= $200

The interest is $200

The lengths (in miles) of two highways after t years of construction can be modeled by 20t + 150 and 15t+ 200. What is the difference of the lengths of the highways when 1 = 1 = 4? Explain.

Answers

Step-by-step explanation:

13.5 is the difference of the length of the roads

In a fish tank there are 10 fish. 5 are goldfish, 1 is an angelfish, and 4 are guppies. If a fish is selected at random, find the probability of getting a guppy or an angelfish.

Answers

Answer:

40% guppy 10% angel

Step-by-step explanation:

Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If AC=16AC=16 and DC=3,DC=3, what is the length of \overline{BC} BC in simplest radical form?

Answers

Answer:

4√3

Step-by-step explanation:

Find the diagram attached

Using the similarity theorem of a triangle based on the legs (sides)

AC/BC = BC/DC

Given

AC = 16

DC = 3

Required

BC

Substitute the given values

16/BC = BC/3

Cross multiply

BC² = 16×3

BC² = 48

BC = √48

BC = √16×3

BC = 4√3

Hence the measure of BC is 4√3

at the snack shack, students attending the football game can buy sodas for $1 and slices of pizza for $3. At fridays game, the snack shack made $250 by selling a total of 180 items. How many sodas were sold? How many pizzas were sold?

Answers

Answer:

126-pizza

124- soda

Step-by-step explanation:

Trina collects eggs from her hens.
She labels their eggs small or medium or large.
20% of the eggs she collected in May were small.
24% of the eggs she collected in May were large.
(a) What percentage of the eggs she collected in May were medium?

Answers

Answer:

56% of her eggs were medium in may

Step-by-step explanation:

if 20% of the eggs she collected in May were small, 24% of the eggs she collected in May were large. All you have to do is add them up which is 44% and minus it by 100% which is 56%

~Batmans wife dun dun duuuun

20 POINTS
A line passes through the points (7,-3) and (7,11).
a. What is the equation for the line?
b. Does the equation you wrote in part a represent a function? Explain why or why not.

Answers

Answer:

x = 7; NO

Step-by-step explanation:

Notice that the x-coordinate remains the same, 7, for both points, whereas the y-coordinate changes.  Thus, the line through these two points is a vertical one:  x = 7.  No, this is not a function, since one x value (7) has more than one y values associated with it.


Today, everything at a store is on sale. The store offers a 20% discount.
1. The regular price of a T-shirt is $24. What is the discount price?
2. If the regular price of an item is x dollars, what is the discount price in dollars?
3. The discount price of a hat is $14. What is the regular price?

Answers

Answer:

a) $19.2

b) 0.8x

c) $17.5

Step-by-step explanation:

1. We want to find the discount price given the regular price

The discount is 20%

so the discount price will be;

24 - 20% of 24

24 - 4.8 = $19.2

b) We have this as;

x - (20% of x)

x - 0.2x = 0.8x

c) let the original price be x

x - 20% of x = 14

x - 0.2x = 14

0.8x = 14

x = 14/0.8

x = $17.5

Solve the inequality 4 x - 7 < 5

Answers

[tex]4x - 7 < 5\\4x < 12\\x < 3[/tex]

4x - 7 < 5

4x + (-7)

For example x = 2

4 * 2 = 8

8 - 7 = 1

1 < 5

Sorry if I did the question wrong.

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