Find g(x), where g(x) is the translation 4 units down of f(x)=x2. Write your answer in the form a(x–h)2+k, where a, h, and k are integers. g(x)=

Answers

Answer 1

Answer: g(x) = (x+3)^2

The answer should be in the form of a(x-h)2 + k.

Since we are not translating up or down, the k value is 0. We will not be adding any values to the outputs of the original equation here. a will equal 1 since no stretches are occurring. So we are left with the h value.

f(x) = x2 is given.

g(x) = a horizontal translation of 3 units left. This means that the h value is -3, because in order to move left, you need to take 3 away from all x values (inputs). So the point (2,4) on f(x) would become (-1,4) on g(x).

How do we write this?

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

So this is g(x) = f(x - (-3)) = f(x+3)

g(x) = (x+3)^2


Related Questions

is 10 greater than, less than, or equal to 5?

Answers

Answer: it’s less 5<10

Step-by-step explanation:

What is the exact area of a regular hexagon with a side length of 8 cm? Enter your answer in the box. cm​

Answers

Answer:

A≈166.28cm²

Step-by-step explanation:

A=[tex]\frac{3\sqrt{3} }{2} a^{2} = \frac{3 x \sqrt{3} }{2} x 8^{2} = 166.27688cm^{2}[/tex]

20 POINTS!!!! PLEASE I NEED HELP!
Describe a scenario in a trimmed mean would be more applicable than a arithmetic mean?

Answers

Can I give u a file?

please help! question is in the pic

Answers

Answer: 2 + 1 = 3      2 x 1 =2

Step-by-step explanation: + 7 = 7

Each quadrilateral below is a parallelogram . find the missing measures!

Answers

Answer:

Step-by-step explanation:

An unknown number y is 15 more than an unknown number x. The number y is also x less than 8. The equations to find x and y are shown below.

y = x + 15
y = −x + 8

Which of the following statements is a correct step to find x and y?

and could somebody please give me a step by step explanation

Answers

Since both equations equal y, you can combine them to x+15=-x+8
Next you need to move both variables to the same side so you can subtract x from both sides so it would be 15=-2x+8
Now you want to get the variable alone so you’d subtract the 8 from each side of the equation and you’d be left with 7=-2X
Lastly you one just one x so divide each side by -2 and you’d have 7/-2=x
x= -7/2 or -3.5

Let me know if you want further explanation of how I got x.

Answer:

x = −3.5

y = 11.5

Step-by-step explanation:

y = x + 15

y = −x + 8

[We know that y is 15 units more than x, and that −x is 8 units less than y. That can be combined into −x + 8 = x + 15 for the first variable (x), and for the second variable (y), y − 15 = −y + 8]

In order to solve this, solve for the first variable in one of the equations, then substitute the result into the other equation.

x = −[tex]\frac{7}{2}[/tex] = −3.5

y = [tex]\frac{23}{2}[/tex] = 11.5

If interest is compounded twice a year, at what annual rate must you invest $2000 to have $3000 at the end of 6 years?

Answers

Step-by-step explaination

How to calculate interest compounded semiannually

Add the nominal interest rate in decimal form to 1. The first order of operations is parentheses, and you start with the innermost one. ...

Solve step one to the power of how many compounding periods. ...

Subtract from step two. ...

Multiply step three by the principal amount.

Linda needs 6/9 cup of strawberries and 3/4 cup mashed peach for a recipe. She wants to find whether she needs more peaches or strawberries. How can you write 6/9 and 3/4 as a pair of fractions with a common denominator?

Answers

Answer: Smashed Peach i.e.  [tex]\dfrac{27}{36}[/tex]

Step-by-step explanation:

Given

Linda needs [tex]\frac{6}{9}[/tex] cup of strawberries

and [tex]\frac{3}{4}[/tex] cup of mashed peach for a recipe

For two fractions to have the same denominator, take L.C.M. of the denominator

[tex]\Rightarrow \text{L.C.M.(4,9)}=36[/tex]

[tex]\therefore \dfrac{6}{9}=\dfrac{6\times 4}{36}=\dfrac{24}{36}\\\\\Rightarrow \dfrac{3}{4}=\dfrac{3\times 7}{36}=\dfrac{27}{36}[/tex]

Therefore, she needs more mashed peach for the recipe.

Solve x + 20 = 24.
The solution is x =

Answers

Answer:

4

Step-by-step explanation:

24 - 20 = 4

It’s would be x=4 because 20+4=24

PLLZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPP PLZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer: your answer is C.  there is no common factor between 6 and 15.

Answer:

the answer is D 9w=21

how

21/9 = 2.3333333333

Step-by-step explanation:

What is the answer to this question?

(3+√5)^2

Answers

Answer:

the answer to this is

14 + 6√5

14 + 6√5 because foil method

(3+√5)^2 = (3+√5)(3+√5)

3(3) = 9
3(√5) = 3√5
√5(3) = 3√5
√5(√5) = 5

9 + 3√5 + 3√5 + 5
= 14 + 6√5

The area of a trapezoid is 216 in2 and it two bases are 14 and 22 inches long. Find the height of the trapezoid.

Answers

Answer:

12 inches

Step-by-step explanation:

The formula for a trapezoid is

A = 1/2(a +b)h

The formula to find the height =

h = 2A/a + b

A= 216 in²

a =14 in

b = 22 in

Hence,

h = 2 × 216/14 + 22

h = 12 inches

The height of the trapezoid = 12 inches

Write an equation of the line that passes through (2,-5) and is parallel to the line 2y = 3x + 10

Answers

Answer:

y=3x/2 -8

Step-by-step explanation:

2y/2 = 3x/2 + 10/2

y = 3x/2 +5

(y-(-5)) = 3/2 (x-2)

y+5 = 3x/2 - 3

y= 3x/2 - 8

How much money was spent?

16

24

28

22

Answers

Umm you’re going to be more specific with your question
What are you asking here?

Which two consecutive integers does -√138 lie between?
A:11 and 12
B:12 and 13
C:-11 and -12
D:-12 and -13

Answers

Answer:

C:-11 and -12

[tex] - \sqrt{138} \\ = - 11.747 \\ - 11 < x < - 12[/tex]

Translate to figure 2 units left and four units down

Answers

(-3,0), (0,-1), (-3,-5), (1,4)

The four partners in a business decide to split the profits of their company in the ratio 2 : 3 : 3 : 5 .
If the profit one year is $26, 000, then what is the largest amount of profit received by one of the four partners?

Answers

Answer:

$10,000

Step-by-step explanation:

the profit was divided to 2+3+3+5=13 parts

the largest amount of profit

=$26,000×5/13

=$10,000

1. (1 point)
Determine the measure of 0 to the nearest degree.

a. 40°
b. 38°
C. 36°
d. 42°

Answers

I would say 36. Sorry if I'm mistaken
Brainliest would be nice

How many dimes and quarters?

what would the system look like?

picture is linked!!!

Answers

Answer:

I think it is twenty-three dimes and one quarter

Answer:

7 quarters and 8 dimes

Step-by-step explanation:

If you count up the amount of money that 7 quarters is, then they are equal to $1.75. Next you would add 10 to that amount until you got to $2.55, and you would end up with 8 dimes. And 8 + 7 = 15.

Crystal randomly selects a card from the list and
then replaces it. Find:

a. P(two even numbers)

b. P(number less than 4 and a number greater than 4)

Answers

Sorry, don’t know the answer

The volume of a cone is 8003π cubic yards. The height is 8 yards. Find the radius

Answers

Question:-

The volume of a cone is 8003π cubic yards. The height is 8 yards. Find the radius.

Solution:-

Height (h) of a cone is 8 yards. (Given)

We have to find the radius (r) of a cone.

Now,

ATQ ,

[tex] \frac{1}{3} [/tex]πr²h = 8003π

[tex] \frac{1}{3} [/tex]r²h = 8003 [ ' π ' is cancelled from both sides ]

[tex] \frac{1}{3} [/tex]r² × 8 = 8003

r² = [tex] \frac{8003 \: × \: 3}{8} [/tex]

r² = [tex] \frac{24,009}{8} [/tex]

r² = 3001.125

r = [tex]\sqrt{3001.125}[/tex]

r = 54.78

The radius of a cone is 54.78 yards. [Answer]

What’s a possible answer for this question?

Answers

Answer:

x-4

Step-by-step explanation:

you get the value of h(x) by dividing f(x)/g(x), so you only put they values for divide.

0.9x+2.3x = -6.4 Find x on both sides of the problem, a little confused... Would we combine the like terms on the left side?

Answers

Answer:

-2

Step-by-step explanation:

0.9x+2.3x = -6.4

Add the two values of the left side of the equation together

3.2x = -6.4

Divide both sides of the equation by 3.2

x = -6.4 / 3.2

x = -2

increase 140 in the ratio 7:5.​

Answers

Answer:

the answer is 196

Step-by-step explanation:

Answer:

i think that the correct answer might be 196

Each group of variables and numbers, separated by addition and subtraction signs, is called a(n) ____________________ of the equation.

Answers

Answer:

Term

Step-by-step explanation:

The circumference of a circle is 20 pi find it's diameter in inches

Answers

Answer:

20 in.

Step-by-step explanation:

The drawing plan for an art studio shows a rectangle that is 19.2 inches by 8
inches. The scale in the plan is 4 in.: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio. The length is feet, the width is feet, and the area is square feet.

Answers

Answer:

24 ft by 10 ft

240 ft

Step-by-step explanation:

19.2/4 = 4.8

4.8 · 5 = 24

8/4 = 2

2 · 5 = 10

The question is : The firehouse is shown in the shape of a composite figure, how many cubic yards of space are in the fire house?

Answers

Answer:

Step-by-step explanation:

c

Find the outcome of picking a
random month of the year and a
random day of the week. What is
the likelihood of it being a Monday
in March?

Answers

Well you have to find the ratio each day of the year what is 365 days in the 12 months and then that's your answer

Anyone help please anyone

Answers

A) he added 5 and 2 instead of multiplying
B)when multiplying 6i and 2i he gave it an exponent instead of canceling the i out
C)he never carried the other 12 down so there was no 22
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