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

The equation y=250,000(1.1)x closely models the value of his home, y, when x is the number of years since 2002.

Using this equation, what would we have expected to be the value of his condo in the year 2006?

Value in 2006:

Answers

Answer:

The value in 2006 is 366,025

Step-by-step explanation:

Here, we want to get the value of y in 2006

what we have to do here is to find and substitute the missing value of x

The missing value x is the difference between the number of years in 2002 and 2006

we have this as 2006-2002 = 4

so we have to substitute 4 here for x

Thus, we have this as;

y = 250,000(1.1)^4

y = 366,025

Find the sector area of the shaded sector. Leave your answer in terms of pi.
T
87°
S
72°
U
W
Х
V
WU = 16

Answers

Answer:

15.47 pi

Step-by-step explanation:

Use the course calculator to solve this problem:

8 + 17 × 26

Answers

Answer:

450

Step-by-step explanation:

8+17=25

25x26=450

Answer: 500

Step-by-step explanation:

You have to do multiplication first according to PEMDAS so you do 17 times 26 and you get 442 add 8 you get 500.

Help Me, Now! B. What is the value of each funtion at x = 1?​

Answers

Answer:

Step-by-step explanation:

The perimeter of a rectangle is 36 meters. If the length of the rectangle is 10 meters, what is the width (in meters)?

Answers

The width is 8. The length is 10 so 10+10 equals 20. You subtract 20 from 36 you get 16. 16/2 is 8. If you add 8+8+10+10 you get 36.
The width would have to be 8

Paul is growing a rectangular rose garden. His area is 5x2+ 8x +3. What are the dimensions of his rectangle?

Answers

Answer:

[tex]Length = 5x + 3[/tex]

[tex]Width = x +1[/tex]

Step-by-step explanation:

Given

[tex]Area = 5x^2 + 8x + 3[/tex]

Required

Determine the dimensions

To do this, we simply factorize the given expression.

[tex]Area = 5x^2 + 8x + 3[/tex]

Expand

[tex]Area = 5x^2 + 5x +3x+ 3[/tex]

Factorize

[tex]Area = 5x(x + 1) +3(x+ 1)[/tex]

Factor out x + 1

[tex]Area = (5x +3) (x+ 1)[/tex]

Area is calculated as:

[tex]Area = Length * Width[/tex]

So:

[tex]Length = 5x + 3[/tex]

[tex]Width = x +1[/tex]

consider the image that shows a tower anchored by a guy with the guy wire is attached at point b on the tower 119 feet above the ground and then anchored to the ground at point a 120 feet from the base of the tower.
Options are: A) sin0= 119/120, B) sin0= 120/119, C) sin0= 119/169, and D) sin0= 120/169

Answers

Answer:

Step-by-step explanation:

[tex]sin\theta=\frac{opposite}{hypotenuse}\\ \\ sin\theta=\frac{119}{169}\ (answer\ C)[/tex]

A rectangle has a perimeter of 18. The height of the rectangle is 4 cm. What is the area of the rectangle?

Answers

Answer:

20

Step-by-step explanation:

Perimeter of rectangle= 2l+2h so 2l+2(4)=18. SO 2l=10. l=5

Area=bh

(5)(4)=20cm

20 cm, I think
The perimeter is 18 and the height is 4 cm.

4 cm x 2 = 8
We are multiplying it by two because there are two side in a rectangle that are the same height

18 - 8 = 10
We are finding the length of the rectangle
10\2 = 5
The length of the rectangle is 5

5 x 4 = 20
That is the area

How do I know that these are not a function?
0,-1
2,3
0,4
2,5
0,6
2,7

Answers

Answer:

there are multiple 0's in the same area, and multiple 2's.

Step-by-step explanation:

Someone helppppp plsss j suck at math. ( pls answer only if your sure ur right)

Answers

Answer:

Step-by-step explanation:

is 17/5 rational or irrational

Answers

Answer:

rational

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

Two angles are complementary. One angle is 18 degrees more than the other. What are the measures of the two angles?​

Answers

Answer:

Step-by-step explanation:

x+y = 90°

x = y+18°

(y+18°) + y = 90°

2y = 72°

y = 36°

x = y+18° = 54°

Use the relationship between quantities to calculate the
missing values in the table.
A =
B = please help me

Answers

1 - 250
2 - 500
3 - 750
4 - 1000
5 - 1250

Every answer is +250

A = 750
B = 1250

Answer:

A=750

B=1250

Step-by-step explanation: I got it right on edge.

Determine if two triangles are congruent. If they are, state how you know.

A: SSS
B: SAS
C: HL
D: AAS

help me ASAP please!

Answers

Answer:

They are congruent. SSS

Step-by-step explanation:

All the sides are the same, clearly stated by the signs on the borders.

The amount of money in a savings account is shown as a function of the number of days spent shopping. After 3 days of shopping how much money is left in the savings account.

A. 80$
B. 70$
C. 90$
D. None of the above ​

Answers

anwser is a

Step-by-step explanation:

PLS HELP 10 POINTS
QUESTION IN PIC

Answers

Answer:

Some integers are irrational

Step-by-step explanation:

An integer must be a whole number so it will always be rational.

A) complementary

B) Alternate exterior

C) alternate interior

D) corresponding

Answers

Answer:

C

Step-by-step explanation:

Its inside

C) alternate interior, interior meaning inner

In your own words, explain the steps you would need to take to find a slope from data in a table.

Answers

Answer:

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Step-by-step explanation:

Answer:

To Find the slope of a data table, you first need to plot two points on the line. It is easiest if the points are on a coordinate with whole numbers (i.e. (3,6 and (4,8)). Once you have plotted two pints, you then need to take the value of the point with the largest x value, and subtract the other points from it (i.e. (4,8)-(3,6)=(1,2). Then, take the new y value, and divide it by the new y-value (i.e. (2/1), and you have your slope.

Step-by-step explanation:

plot points (3,6), (4,8)

subtract points (4,8)-(3,6)=(1,2)

divide new points 2/1

m=2/1, or 2

Wanna be the Brainiest

Answers

Answer:

156cm^3

Step-by-step explanation:

V= 1/2 a*c*h

a=3

c=8

h=13

3*8*13=312

312/2=156

Which graph represents the solution set of - 4x - y <- 6?

Answers

Answer: it’s D

Step-by-step explanation:

The Linear Inequality - 4x - y <- 6 represents option d, of the solution set.

What is Linear Inequality?

Expressions using linear inequalities compare any two values using inequality symbols like "," ">," "," or "." These values might be either numerical, algebraic, or both. Examples of numerical inequality include 1011 and 20>17, whereas algebraic inequalities include x>y, y19-x, and x z > 11 (also called literal inequalities). The mathematical equation when both sides are not equal is called an inequality. Inequality occurs when a connection compares two expressions or two numbers in an unequal manner. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to a symbol (), less than or equal to a symbol (), or not equal to a symbol (), is used in place of the equal sign "=" in the phrase. Polynomial inequality, rational inequality, and absolute value inequality are the many sorts of inequalities. The symbols "and ">" signify tight inequalities, whereas " and "signify slack inequalities. A linear inequality looks precisely like a linear equation, but the symbol connecting two expressions is different.

In the given question, we have given the graph of the inequality  4x - y <- 6, So, we need to find the best suitable graph that represents the graph of the given Inequality.

So, the Inequality is:

- 4x - y <- 6.

So, we can substitute the value of x and y;

So, substitute x = 1;
So, The y value will be less than 2;

That is:

y < 2;

Again let's put the value of x = -1;

we get the value of y  as less than 10.

y<10;

So, by substituting the values as mentioned we can see that the value of y is decreasing.

So, by plotting the values in the graph, we can get the correct graph.

Hence, The correct answer is option d.

To learn more about Linear Inequality, visit:

https://brainly.com/question/24372553

#SPJ13

39/8 as a decimal... I've forgotten how to turn fractions into decimals ​

Answers

Answer:

4.222222 or jus 4.2 with - over the 2 to indicate multiple 2's

Answer:

4.875

Step-by-step explanation:

Pretty simple, just divide the numerator by the denominator.

16. What are the missing sides?
TE
4 cm
3 cm
?
?
5 cm
10 cm

Answers

Missing sides are 3&5
Total answer is 8

Write each expression in scientific notation. Put your answer for EACH part in the text box. You should have 5 answers for this question.
A) 0.04

B) 0.072

C) 0.0000325

D) 0.003

E) 0.23





please help me

Answers

Answer:

A) 4 × 10^-2

B) 7.2 × 10^-2

C) 3.25 × 10^-5

D) 3 × 10^-3

E) 2.3 × 10^-1

Step-by-step explanation:

Find the first six terms of the sequence.
a1 = -7, an = 4 • an-1

A) -7, -28, -112, -448, -1792, -7168
B) -28, -112, -448, -1792, -7168, -28,672
C) -7, -28, -24, -20, -16, -12
D) 0, 4, -28, -24, -20, -16

Answers

i think the answer would be D

Determine the coordinates of the pre-image?

Answers

Just find the coordinates and divide the x and y coordinates by the scale factor.

I'll do A.

(4,3)

Divide 4 by 0.5 and 3 by 0.5.

4/0.5=2

3/0.5=1.5

So the original coordinate for A is (2,1.5).

Hope it helps

i need help ASAP please

Answers

Answer:

umm so i belive you will mulltiply all of thoes together

Step-by-step explanation:

chicken nuggies are good :0

Answer:

number 3

Step-by-step explanation:

p represents amount of tickets sold at the pre-sale and d represents the amount of tickets sold at the door. If you add p + d, that equals the total amount of tickets sold which is 345 tickets.

So:

p + d = 345

Pre-sale tickets (p) cost $7 while tickets at the door (d) cost $10, and the total amount of money mad is $2550.

So:

7p + 10d = 2550

Answer should be the equations in number 3.

A baseball player gets a hit 20% of the times he is at bat. Out of the next 15 times at bat, how many hits can you expect the player to get?

Answers

Answer:

...

Step-by-step explanation:

The batsman will hit =20% of 15

= 15/5

= 3

Answer:

3

Step-by-step explanation:

15 x 0.20

Select the two values of x that are roots of this equation.
2x-5=-3x2

Answers

Answer:

Step-by-step explanation:

Which number is in the solution set of this equation? 7x − 9 = 40

Answers

Answer: the answer is 7

Step-by-step explanation: add 9 to both sides, eliminating -9 so now you have 7x=49 divide both by 7 and you get x= 7 check it by inputing 7 for x, 7(7)-9=40

7(7)=49 next 49-9= 40

it checks out, so x= 7

What does 2x-9=7x-44

Answers

that would be x=7 , because we subtract 2x in both sides after that we simplify, add 44 in both sides, simplify once again & divide by 5 simplify & we get 7

Answer:

Isolate the variable by dividing each side by factors that doesn't contain the variable.

Exact form: x = 154/9

Decimal form: x = 17.1

Mixed number form: x = 17 1/9

Step-by-step explanation:

hope that helps...

have a good day

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