Quadratic functions g(x) and h(x) are graphed on the same coordinate grid. The vertex of the graph of h(x) is 12 units above the vertex of the graph of g(x) .
Which pair of functions could have been used to create the graphs of g(x) and h(x)?
h(x)=(x+12)2 and ​g(x)=x2​
h(x)=x2−12 and g(x)=x2
h(x)=x2+12 and ​g(x)=x2​
h(x)=(x−12)2 and ​g(x)=x2

Answers

Answer 1

Answer:

h(x) = x^2 + 12 and g(x) = x^2

Step-by-step explanation:

In this case there is a positive, vertical translation of 12 units up.

The original g(x) = x^2 has its vertex at (0, 0), whereas h(x) has its vertex at (0, 12).  The function h(x) is found by adding 12 to g(x) = x^2:

h(x) = x^2 + 12

The third answer choice is the correct one:  h(x) = x^2 + 12 and g(x) = x^2


Related Questions

For what value of g is the equation – 13(q + 4) = 79 + 16

Answers

Answer:

13(g+4)=79=16    if          -13(g+4)=79+16

g=43/13                               g=-147/13=-11 1/13

Step-by-step explanation:

13g+52=95               -13g-52=95

13g=95-52                -13g=95+52

13g=43                      -13g=147

g=43/13                       g=-147/13=-11 1/3

Translate: The difference of a number and 45 is 12

Answers

Answer:

x-45=12

Step-by-step explanation:

a number equals x

difference equals -

of a number and 45 so 45 first

is equals =

12 is after is so 12

PLZ HELP RN ILL MARK YOU BRAINLIST IF ITS RIGHT PLZZZ IM DESPERATE

Answers

Answer:

y = -14

Step-by-step explanation:

3y = -42

Divide both sides by 3:

y = -14

Answer:

-14

Step-by-step explanation:

-42 divided by 3 =-14

A Ferris wheel has a radius of 72 feet. What is the distance a passenger will travel one time around the Ferris Wheel

Answers

31 seconds it will take to get around without it stopping

Approximately how many people died during the Civil War?
Group of answer choices

600,000

6,000,000

6,000

60,000

Answers

Answer:

600,000

Step-by-step explanation:

around 620,000 so 600000 is the closest answer

Answer: around 600,000

Step-by-step explanation: you can basically solve this using just basic logic of thinking which would be too large or small

Please!!!!!!!!! someone give me the correct answer to this question.
I will mark you brainliest for the correct answer.

The answer choices are at the bottom.

This is a big test.

Please help!!!

Answers

Answer:

(1 suptlimary)  ( 2. 41)     (3. alternate exterior)  (4. 149)

Step-by-step explanation:

help pleaseeeeeeeee?!?!

Answers

Strong, they are all close together and close to the line.

Answer:It looks like it would be strong Step-by-step explanation: They are close together.

use the formula v=u+at
calculate v when:
u=10, a=3, t=2.5​

Answers

Answer:

17.5

Step-by-step explanation:

[tex]v = 10 + 3 \times 2.5 \\ v = 10 + 7.5 \\ v = 17.5[/tex]

This is your answer :))

Answer:

V = 17.5

Step-by-step explanation:

[tex]v = u + at \\ v = 10 + 3(2.5) \\ v = 10 + 7.5 \\ v = 17.5[/tex]

I hope that is useful for you :)

There are 89 students in the sixth grade. Thirty-two percent of the sixth grade students live in Earth . Thirty-six percent of the sixth grade students live in Mars. The remaining students live in Saturn. What fraction of sixth grade students live in Saturn?

Answers

Answer:

32% of the sixth grade students live on Saturn.

(which would be about 29 of them)

use long division method to calculate 102 024 ÷ 156​

Answers

The answer is 654
I have done the working in a paper

please answer !!!!! will give brainliest


A.sausage
B.mushroom
C.pepperoni
D.cheese

Answers

Answer:

Pepperoni

Step-by-step explanation:

Pepperoni showed up the most out of everything else

I choose Pepperoni

The ages of the racers in a bicycle motocross race are 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29. The 30-year-old drops out of the race and is replaced with a 15-year-old. How are the mean, median, and mode of the ages affected?

Answers

Answer:

The mean is decreased by 1.25.

The mode  remains the same.

The median is decreased by 2 .

Step-by-step explanation:

Re arranging the data 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29.

Gives

14, 14,17,20,  21, 22, 25,25, 26,  27, 29,30,  

Now the mean = 14, +14,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29,+30/12

Mean= 270/12=22.5

The Mode ( the repeated value) = 14,25

Median ( the average of middle value) =  22+25/2= 23.5

When 30 is replaced is by 15

Now the mean = 14, +14, +15,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29/12

The  Mean becomes = 255/12=21.25

The Mode ( the repeated value) = 14,25

Median ( the average of the middle value) =  21+22/2= 21.5

The difference between the 2 means  is = 22.5- 21.25= 1.25

The mode  remains the same.

The median is decreased by 2 .

The mean is decreased by 1.25 which is more than 50 % of the value obtained between the ratio of the omitted and added value (30/15=) i.e. 2

Please answer these questions for me I wanna enjoy being outside today.

Answers

Answer:

1. y = 3x - 3

2. y = -2 1/2x + 10

10/-4 = -2 1/2 is the slope

3.  undefined

4. y = x - 4

5. y = x - 5

6. 6x + 2y = 4 and -3y = 9x + 12

7. -3x + y = 7, y = 3x + 1, and y =3x

8. y = 2x + 5

9. y = 1/4x - 4

A pair of sneakers cost $45 now. What would be the cost of the sneakers in ten years if the inflation rate is 7%? Estimate your answer to the nearest whole number.

Answers

The inflation rate would increase the price of the sneakers to $88.52.

DO NOT GIVE ME A PDF!!!!
Add the polynomials: (4x + 5) + (3x + 2) + (7x - 3).

a.84x - 30

b.14x + 10

c.18x

d.14x + 4

Answers

4x+3x+7x+5+2-3

14x+7-3

14x+4

14x + 10 (DO NOT ADD IT TOGETHER THAT'S JUST THE ANSWER I DID THIS IN SCHOOL 2-DAY)

Step-by-step explanation:

(4x+5) +(3x+2) + (7x-3)

Add 4x+3x+7x

14x

Add 5+2+3

10

Jeff as a collection of hockey cards. His brother Steve had 10 more cards than Jeff. Steve gave Jeff all of his cards. Jeff ended up with 992 cards. How many cards did Jeff start with?

Answers

Answer: 491 cards

Step-by-step explanation:

Given

Steve had 10 more cards than Jeff

Suppose Jeff has x cards

So, steve has x+10 cards

Steve handover his cards to Jeff

Now, Jeff has x+x+10=2x+10 cards

It must be equal to 992

[tex]\Rightarrow 2x+10=992\\\Rightarrow 2x=982\\\Rightarrow x=491\ \text{cards}[/tex]

Jeff started with 491 cards

The graph shows a line and two similar triangles. What is the equation of the line? y = 3 x y = one-third x y = one-third x + 2 y = 3 x + 2

Answers

TEMA

Una ecuación es una igualdad matemática entre dos expresiones, denominadas miembros y separadas por el signo igual, en las que aparecen elementos conocidos y datos desconocidos o incógnitas, relacionados mediante operaciones matemáticas

CONCEPTO

Una ecuación es una igualdad matemática entre dos expresiones, denominadas miembros y separadas por el signo igual, en las que aparecen elementos conocidos y datos desconocidos o incógnitas, relacionados mediante operaciones matemáticas

------------------------------------------------------------------------Igualdad entre dos expresiones que contiene una o más variables."ecuación de segundo grado"Igualdad o paralelismo entre dos o más cosas.

Enter your solution without units below. 5cm 5cm 4cm 12cm 6cm

Answers

Answer: if ur looking 4 the surface area, then its 216 cm2.

Step-by-step explanation:

a= 1/2 b h

a= 1/2 (6) (4)

a= 12

12x2=24

a=lw

a= 12(5)

a= 60

60x2= 120

a=lw

a= 6(12)

a= 72

24+72+120= 216

Anyone good at geometry proofs? Help with math please. Thank you!

Answers

Answer and Step-by-step explanation:

1. Given

This part is given at the beginning of the problem.

2. Corresponding Angles Postulate

Because the lines are parallel, these two angles will be congruent by the corresponding angles postulate.

3. Same-Side Interior Angles Theorem

The same-side interior angles theorem has it so that the angles within parallel lines will add up to 180.

4. Substitution

We can use substitution here because we already determined that the measure of angle UTY is congruent to the measure of angle HGY.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer:

Below.

Step-by-step explanation:

m <UTY + m <UTR = 180 degrees ( Angles on a straight line YR)

But m < UTR = m<RWX ( Corresponding angles  in the parallel lines SU and VX)

So substituting for m< UTR in the first equation:

m <UTY + m<RWX  = 180.

Solve the system of equations -3x+7y=-18 and 4x-4y=8 by combining the equations

Answers

Answer:

(-4, -3)

Step-by-step explanation:

Using elimination by addition and subtraction works best here.

Suppose we decide to eliminate x temporarily.  To do this, we multipy the first row by 4, obtaining

-12x + 28y = -72

  4x  - 4y   =   8

Next, multiply the second row by 3, obtaining the "equivalent system"

-12x + 28y = -72

  12x - 12y   =  24

Combining these equations, column by column, we get:

16y = -48.  So y = -3.

Now let's find x.  Substitute -3 for y in the second equation:

4x - 4(-3) = 8, or

4x + 12    = 8, or

4x            = 8 - 12  = -4.  This tells us that x = -4.

The solution is thus (-4, -3).

the formula for simple interest is I=Prt. find the principal (p) if you earn $300 dollars in interest (i) of 5% for 6 years (t)​

Answers

Answer:

$9000

Step-by-step explanation:

I=?

p=$300

R=5*1/100

T=6

I=P*R*T

$300*5/100*6

=$9000

Find the quotient.
(12x^2 - 10x-12) = (3x + 2)

2x-3
4x + 6
3х + 2
4x - 6

Answers

I believe the answer to this problem is 4x-6

(12x^2-10x-12)÷(3x+2)

=(2x-3)(3x+2)÷(3x+2)

=(2x-3)

Step-by-step explanation:

Answer would be (2x-3)

answer pls and thank u !

Answers

it would be -3 heehehe

If the lateral area of a cube is 36 cm2. Find its total area.​

Answers

Answer:

should be 7776

Step-by-step explanation:

I just used an area for cubes calculator.

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?

Answers

Answer:

Choice D - 8cm and 9cm.

Explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, D is greater than 13 and is the correct answer.

D: 8 + 8 = 16.

Which of the following functions best describes this graph?​

Answers

The answer is A, x^2-9x+18

Answer:

I believe the answer is A.

can someone please help me with this question? (no links!!!)

Answers

Answer:

Step-by-step explanation:

[tex]\text{The area of a circle can be expressed as}\\ \\ A=\pi r^2\ or\ A=\frac{\pi d^2}{4}\\ \\ \text{You are told d=11in and to approximate pi with 3.14 so}\\ \\ A=\frac{3.14(11^2)}{4}\\ \\ A\approx 94.985\ in^2[/tex]

Analyze this equation.
8x−5=−1
What is the value of x ?

A. -0.75
B. -0.5
C. 0.5
D. 0.75

Answers

Answer:

C) 0.5

Step-by-step explanation:

8x-5=-1

8x=-1+5

8x=4

x=4/8

simplify

x=1/2

Solve this inequality for y.
- 3y + 12 26

Answers

Answer:

-2^5

Step-by-step explanation:

hope it helped. im not sure..

Find -63+(-208)+(-11) .

Select one:
a. -282
b. 282
c. -134
d. -272

Answers

Answer:

In my calculator it says 156

a. -282

Step-by-step explanation:

I just used a calculator haha

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