The function g is defined as follows.
g(x) = 2x²+7
If the graph of g is translated vertically downward by 5 units, it becomes the graph of a function h.
Find the expression for h(x).
x

Answers

Answer 1

Answer:

h(x) =  2x²+2

Step-by-step explanation:

Given the function g is defined as follows.

g(x) = 2x²+7

If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;

h(x) =  2x²+7 - 5

h(x) =  2x²+2


Related Questions

what are the steps on finding common denominators. PLEASE HELP

Answers

Step-by-step explanation:

to find a common denominator, you have to find a number that "works" with every other number.

for example, say you have

2/4 and 8/12

First you need to find the common factor between 4 and 12, so list all your fours

4, 8, 12, 16, 20

Now list all your twelves

12, 24, 36, 48, 60

to find the common factor you look at both your list of numbers and find one that's the same, sometimes it takes a long list of numbers to find the common factor, but you will run into one.

So by looking at our list we see that 4 and 12 share the common factor of 12. but since 8/12 already has a denominator of 12, we are going to leave it alone.

now think about what you would multiply 4 by, to get to 12. The answer is

4 x 3 = 12

to make the numerator correct, you multiply it by the same number you did 4, so since your faction is 2/4 you should do 2 x 3 = 6

now you have your answer,

2/4 and 8/12 turns into

6/12 and 8/12

and that's how you find it, let me know if you have questions :)

Need answer asap, will give brainliest to the correct answer.

Answers

Answer:The answer is the 2 one

Step-by-step explanation:

16% of what is 60? PLZ I NEED HELP

Answers

Answer:

9.6 is your answer

Hope this helps!

Find the value of x.
Pleaseeee I need helppp!!!!!!

Answers

Answer:

x = 38

Step-by-step explanation:

The measure of a vertex angle outside a circle = ½(difference of intercepted arcs)

Thus:

m<S = ½(UV - TW)

m<S = 34°

UV = (3x - 2)°

TW = (x + 6)°

Plug in the values into the equation

34 = ½((3x - 2) - (x + 6))

34 = ½(3x - 2 - x - 6)

34 = ½(2x - 8)

Multiply both sides by 2

34*2 = 2x - 8

68 = 2x - 8

68 + 8 = 2x (addition property of equality)

76 = 2x

76/2 = x (division property of equality)

38 = x

x = 38

Arthur has a savings account. If he withdrawals $6, he
will have more than $26 remaining in the account. Which
inequality can be used to determine x, the amount of
money he had in his account before making the
withdrawal?
A.
X+6 26
B.
x + 6 = 26
C.
X-6226
D.
X-6 > 26

Answers

It’s D because if he withdrawals u would minus

Answer:

32

Step-by-step explanation:

6+26=32

Find y. (leave answer in simplest radical form) *

Answers

Answer:

12

Step-by-step explanation:

We already found x in a previous problem.

x = 6

The right triangle on the right side with sides x and y is also a 30-60-90 triangle.

The hypotenuse is twice the short leg.

x = 6

y = 2x

y = 12

how do you graph 3-2i

Answers

Answer:

X is first then Y

Step-by-step explanation:

x is up to down

y is side to side

you write it like this (x,y)

????????????????????????

Answers

Answer:

[tex]P(Sum = 9) = \frac{1}{9}[/tex]

Step-by-step explanation:

Given

Outcomes of rolling two dice

Required

P(Sum = 9)

From the given outcomes, we have:

[tex]n(S) = 36[/tex] -- the sample size

[tex]Sum = 9:=\{(3,6),(4,5),(5,4),(6,3)\}[/tex]

So.

[tex]n(Sum = 9) = 4[/tex]

The probability is:

[tex]P(Sum = 9) = \frac{n(Sum = 9)}{n(S)}[/tex]

[tex]P(Sum = 9) = \frac{4}{36}[/tex]

Simplify

[tex]P(Sum = 9) = \frac{1}{9}[/tex]

How do you multiply polynomials ??

Answers

Answer:

multiply each term in one polynomial by each term in the other polynomial.

add those answers together, and simplify if needed.

Step-by-step explanation:

Use FOIL !

1. multiply each term in one polynomial by each term in the other polynomial

2. add those answers together, and simplify if needed

Multiply polynomials the same way you multiply monomials and bionomials. You can also use symbolab to check if your answer is correct

Good luck! Don't be afraid to comment something below this if you have another specific question.

What is the name given to a five-sided polygon that has congruent sides? A. hexagon B. regular hexagon C. pentagon D. regular pentagon

Answers

Answer:

C

Step-by-step explanation:

Pentagon

Hope this helps (:

Answer

C). pentagon is the correct answer.

Step-by-step explanation:

A pentagon has 5 congruent sides and 5 angles.

HELP PLS!!! BRAINLIEST WILL BE GIVEN​

Answers

It’s B. Hope it hopes

(1/2)4 = asap for brainliest

Answers

Answer:

1/2×4=2

Step-by-step explanation:

half of 4 is 2. hope this helps

The answer is 2. 4 times 1/2 is half of 4 so 2.

i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks

Answers

Answer:

10x+8

Step-by-step explanation:

Answer:

10x + 8 is the answer

Step-by-step explanation:

To simplify the equation we must use the Distributive Property meaning that

we must distribute 2 to each term

                                                     5x(2) + 4(2)

                                                        10x + 8

            There You Go, Have a Wonderful Day, And Hope This Helps

Please help!!! I’ll mark you the Brainlyest!!

Answers

Answer: C.

Step-by-step explanation:

i hope this helpes!!

Answer: I believe it's D

Hope this helps love

Jerome earned an 80% on his math test. If there were thirty-five questions on the test, how many questions did he answer correctly? Explain your work

Answers

Answer:

28 questions

Step-by-step explanation:

80% is 80 out of 100, so we can represent it as 80/100.

80 / 100 = y / 35

We need to find the value of y.

To do this we can cross multiply, with a method I like to call the butterfly method.

80         y

100       35

80x35=2800

Therefore, 100 times y equals 2800.

So we divide 2800 by 100.

2800/100=28.

Therefore, y equals 28.

y=28.

hey yall i need some help; please explain

Answers

Answer:

14 inches, 13, 10

Step-by-step explanation:

Because this is an addition problem and there are no other answers that are equal to 5 and 9, i think that's the only answer i could think of, but hope this helps, if not, can i get some time to change my answer?

Give each side and angle measure rounded to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

By applying sine rule in the given triangle,

cos(25°) = [tex]\frac{\text{AC}}{AB}[/tex]

cos(25°) = [tex]\frac{b}{400}[/tex]

b = 400[cos(25°)]

b = 362.52

b = 363 ft

By applying sine rule in the given triangle,

sin(25°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(25°) = [tex]\frac{a}{400}[/tex]

a = 400[sin(25°)]

a = 169.05

a = 169 ft

m∠A + m∠B + m∠C = 180°

25° + m∠B + 90° = 180°

m∠B = 180° - 115°

m∠B = 65°

What is the simplified form of the following expression? 4x2|y3z| 4x4y8

Answers

Answer:

16x⁶y⁸|y³z|.........

Answer:

B

Step-by-step explanation:

EDGE

47 in = ? ft ? in

3 ft 11 in

4 ft 0 in

3 ft 9 in

564 ft 0 in

Answers

Answer:

3ft 11 in

Step-by-step explanation:

1 foot equals 12 inches, 12 × 3 = 36 = 3 feet + 11 inches = 47 inches = 3ft 11in

Sam scored 98, 25, 105, 62 and 65 run in 5 matches. What was the
average score per match?

Answers

Answer:

75

Step-by-step explanation:

am scored 92,25,105,62,65 in 5 matches

The average score per match is

= total of runs in 5 matches/ 5

= 92+25+105+62+65/5

=355/5

= 71

Answer: the average score per match is 71 maybe try looking around before wasting points but im glad to help

Need help I will offer brainalist + 10 points for correct answer (:

Answers

The answer you would be looking for is C. This is because both angles together form a right angle, making them complimentary!

The reason why it is not B as the other person answered is because supplementary makes 180 degrees. When that is not the correct answer to this question.

C is your answer! I hope that helped :)

The captain of a ship at sea sights a lighthouse which is 120 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 16 ^\circ. How far is the ship from the base of the lighthouse? feet

Answers

Answer:

As viewed on the deck, the lighthouse is 50-6 = 44 m above. First we need to compute the two distances from the captain and the lighthouse. For point1:

d1 = 44 / tan(60) = 25.403 m

For point2:

d2 = 44 / tan(30) = 76.210 m

The distance traveled by the ship in five minutes is 50.807 m or 0.050807 km. Five minutes is equivalent to 1/12 hours.

The speed is then equal to 0.050807/(1/12) kph = 0.61 kph.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Step-by-step explanation:

Si un número es divisible entre 5, es múltiplo de 10? Expliquen porque por favor.

Answers

Answer: No es porque el número podría ser 35

NEED HELP ASAP FREE BRAINLIST

Answers

Answer:

G

Step-by-step explanation:

Answer:

now they can have brain

Step-by-step explanation:

If the average person sleeps 7 hours every day how many days will it be before they have slept 35 hours

Answers

5 days.
35 divided by 7 = 5

Can somebody please give me the answer I will mark u brilliant

Answers

Answer:

x = 6.7

Step-by-step explanation:

We know that 3.5 + x = 10.2, so if we do inverse operations we can find out the value of x.

10.2 - 3.5 = 6.7

we can check our work by substituing it back in the equation for x

6.7 + 3.5 = 10.2

so now we know that x = 6.7. I hope this helps :)

Answer: x=6.7

Step-by-step explanation:

x+3.5=10.2

-3.5    -3.5

x= 6.7

Select the words that best describe the given equation y=x2-1

Answers

Answer:

I'm not completely sure what you're asking, but the equation is slope-intercept form. That's how you'd describe the given equation.

Answer:

the y-value is 1 less than the square of the x-value

Step-by-step explanation:

What are some values to make -2x> 10 true ?
Please help ASAP!

Answers

Answer:

-6 -7 -8 -9 -10

Step-by-step explanation:

anything that keeps going from there dont do anything like -5 -4 -3 -2 -1 because it would be wrong

any negative number that keeps increasing after -6

Please help! And make sure to add a let statement!

Answers

Answer: See explanation

Step-by-step explanation:

1. Let the small number be x

Then, the bug number will be: x + 25

Therefore, x + x + 25 = 131

2x + 25 = 131

2x = 131 - 25

2x = 106

x = 106 / 2

x = 53

Small number= 53

Big number = x + 25 = 53 + 25 = 78

2. Let the small number be x

Then, the bug number will be: x + 14

x + x + 14 = 58

2x + 14 = 58

2x = 58 - 14

2x = 44

x = 44/2

x = 22

Small number = 22

Bug number = 22 + 14 = 36

The numbers are 22 and 36.

3. Let number of basketball sold be x

Therefore, number of football sold will be x+3.

Therefore, x + x + 3 = 27

2x + 3 = 27

2x = 27 - 3

2x = 24

x = 24/2

x = 12

12 basketball were sold

Number of footballs sold = 12 + 3 = 15

4. Let calories in bowl of soup x

Hamburger = 2 × x = 2x

Therefore, x + 2x = 738

3x = 738

x = 738/3

x = 246

There are 246 calories in bowl of soup

Calories in hamburgers = 246 × 2 = 492 calories

7. Below are the steps taken to simplify the expression. Which justification matches Step c of the simplified expression? *

7x+8y+5x+3(y+1)

a. 7x + 8y + 5x + 3y + 3
b. 7x + 5x + 8y + 3y + 3
c. (7x + 5x) + (8y + 3y) + 3
d. 12x + 11y+ 3

A. Associative Property of Addition

B. Commutative Property of Addition

C. Combine Like Terms

D. Distributive Property​

Answers

Answer:

A. Associative property of addition

Step-by-step explanation:

The associative property is about the grouping of terms/numbers in parentheses in an equation.

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