Suppose f(x) = 5x - 4. Describe how the graph of g compares with the graph of f.
g(x)=f(x) + 12
IDEE
Select the correct choice below, and fill in the answer box to complete your choice.
O A. g(x) has a scale factor of compared to f(x). Because it scales the horizontal direction, the graph is stretched horizontally.
OB. The graph of g(x) is translated unit(s) to the left compared to the graph of f(x).
OC. The graph of g(x) is translated unit(s) down compared to graph of f(x).
OD. g(x) has a scale factor of compared to f(x). Because it scales the vertical direction, the graph is stretched vertically.
O E. g(x) has a scale factor of compared to f(x). Because it scales the horizontal direction, the graph is compressed horizontally.
O F. g(x) has a scale factor of compared to f(x). Because it scales the vertical direction, the graph is compressed vertically.
O G. The graph of g(x) is translated unit(s) to the right compared to the graph of f(x).
O H. The graph of g(x) is translated unit(s) up compared to graph of f(x).

Answers

Answer 1

The graph of g(x) and f(x) are related by the given equation g(x) = f(x) + 12,

therefore, the ordered pair of the graph of g(x) is (f(x) + 12, x).

The choice that correctly describes how the graph of g(x) compares with f(x)

is the option; H. The graph of g(x) is translated unit(s) up compared to graph

of f(x).

Reasons:

The given function is f(x) = 5·x - 4

The function g(x) = f(x) + 12

Required:

To select the correct choice from the given options

Solution:

The difference between f(x) and the required function, g(x), is the addition

of a constant positive value of 12 to the function f(x).

Therefore, each f(x) output value is further increased by 12 to obtain the

graph of g(x), which gives;

The graph of g(x) is translated 12 units up compared to the graph of f(x),

which corresponds with the option H.

Learn more here:

https://brainly.com/question/15938361


Related Questions

Solve for the value of c.

Answers

Right angles = 90 degrees
8c - 5 + 6c - 3 = 90
14c - 8 = 90
14c = 98, c = 7

Solution: c = 7

Step-by-step explanation:

(8c-5)°=(6c-3)°

8c°-5°=6c°-3°

8c°-6c°=-3°-5°

2c°=-8°

c°=-8/2

c°= -4

Substitute the value

{8(-4)-5}

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(6c-3)

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20% of a number is 17. Find the number.

Answers

Answer:

85

Step-by-step explanation:

20% x X = 17

20/100 x X = 17

X = 17 x 100/20

= 17 x 5

= 85

the number is 85

Answer:

17 is 20% of 85

Step-by-step explanation:

20%= 1/5 so 17 = 1/5 of that number if you multiple 17 by 5 that would equal 85.

17 is 20% of 85

determine the intercepts of the line 4x-3y=17

Answers

Answer:

x-intercept = 17/4 and y = -17/3

Step-by-step explanation:

To find the intercepts: set x = 0 for the y-intercept and solve the equation and set y =0 for the x- intercept and solve the equation.

To

4x - 3y = 17

4(0) - 3y = 17

0 - 3y = 17

  y = 17 /-3

 y = -17/3 = -5 2/3       y-intercept = -5 2/3.

The ordered pair on the graph is (0, -17/3)

   4x - 3(0) = 17

     4x - 0 = 17

      4x = 17

       x = 17/4       x-intercept = 17/4

    The ordered pair on the graph is (17/4, 0)

can someone please help me with this

Answers

Answer:

45.625cm²

Step-by-step explanation:

To solve this, we need to do the area of the circle - the area of the rectangle:

Area of the circle

a = πr² (r is the radius, half the diameter)

a = π × 4²

a = π × 16

a = 16π or 50.265cm²

Area of the rectangle

a = length × width

a = 5 × 1

a = 5cm²

50.265 - 5 = 45.265

Hope this helps!

How do you shift exponential functions?

Answers

Answer:

Shift the graph of f(x)=bx f ( x ) = b x left c units if c is positive and right c units if c is negative. Shift the graph of f(x)=bx f ( x ) = b x up d units if d is positive and down d units if d is negative.

What’s 2+2 as a decimal

Answers

Answer:

4.0

Step-by-step explanation:

the correct answer is 4.0

Below is a recipe for chocolate chip cookies. The recipe makes 27 cookies. How many teaspoons of vanilla extract do you need to make 24 cookies? Round to the nearest hundredth if needed.

Answers

Answer: 1.78 teaspoons

Step-by-step explanation:

The recipe says: 27 cookies/2 teaspoons Vanilla extract. Let's abbreviation this conversion factor as (27/2)C/V, where C is cookie and V is 1 teaspoon vanilla extract. We have both 13.5C/V and 1V/13.5C as conversion factors. 13.5 cookies is equivalent to 1 teaspoon vanilla, or 1 teaspoon vanilla is equivalent to 13.5 cookies. We can multiply ofr divide either of these factors, since they are both equivalent to 1, and you can mukltiply or divide anything by 1 without changing it's accuracy. The atual numbers will change, but the units will also change, making it a valid result.

We want 24 cookies. Use one of the conversion factors to find the teaspoons vanilla extract required:

1) We can divide by (27C/2V)

24C/((27C/2V) = 1.78 teaspoons

or

2) we can multiply by (1V/13.5C)

24C*(1V/13.5C) = 1.78 teaspoons

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

First:

A. (First Option)

Second:

C. (Third option)

(Brainiest and thanks are appreciated)

Answer:

Question 3:

O (7 x 50) - (7 x 2) = 350 – 14 = 336

Question 3:

O (9 x 80) + (9 x 1) 729

Step-by-step explanation:

Distributive Property is used in algebraic expressions, to divide the equation, to make it easier to solve. For question 1,  since it was 20, you must subtract 8 from that answer, because 20 is 1 more than 19. For question 2, (2 x 9) + (2 x 3) would be the same thing as 2(9+3).

-kiniwih426

A number n decreased by 8 is 19

Answers

Answer:

n-8=19

Step-by-step explanation:

The answer is 27 because 19 plus 8 is 27 but if you decrease it by 8 (subtract) it would give you 19 please mark me brainliest hope it helps have a good day

Todd is buying material to fence his new garden. He buys 2 strands of barbed wire and a post for every 3m of fence. Each post costs 300 dollars and barbed wire costs 20 dollars per meter. What is the shape of the largest area Todd can enclose if he spends 3000 dollars on fence material? Show your work.​

Answers

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Solve UV,RS,RT Please And Thank You

Answers

Answer:

⬇️

Step-by-step explanation:

UV = 1/2 TS

UV = 1/2 42

UV = 21

RS = 2* UW

RS = 2*23

RS = 46

RT = 2 * VW

RT = 2*19

RT = 38

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Perimeter of RST = 128

Chris
goes to a shop to buy meat, vegetables and fruit.
(a) The costs of the meat, vegetables and fruit are in the ratio
meat : vegetables : fruit = 2:2:3.
The cost of the meat is $2.40.
Calculate the total cost of the meat, vegetables and fruit.

Answers

Answer:

meat = $2.40

vegetables = $ 2.40

fruit = $2.40 + X

= 2.40 ÷ 2

= 1.2

therefore 2.40 + 1.2

=$3.6 (For fruits )

= $3.6 + $2.40 + $2.40

= $ 8.4

Hope this helps .Plzz mark me brainliest

The total cost of the meat, vegetables and fruit is $8.4.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the costs of the meat, vegetables and fruit are in the ratio meat : vegetables : fruit = 2:2:3.

The cost of the meat is $2.40.

Let the total cost of the meat, vegetables and fruit be x.

Now, 2+2+3=7

So, 2/7 ×x=2.40

2x=2.40×7

2x=16.8

x=8.4

Therefore, the total cost of the meat, vegetables and fruit is $8.4.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Answers

Answer:

,a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. 

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Answers

A graph of the lights flashing (in seconds/P/Q) would look like this:

s P Q
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3 45 75
4 60 100
5 90 125

The lights flashes at the same time whenever both lines intersect on the graph.

can someone help on number 7 and 8
show work please aswell this is due tmr!

Answers

Answer:

In the picture

Step-by-step explanation:

For #8, make sure you combine the like terms on the parantheses due to PEMDAS, then distribute and solve for the variable.

Please help me !!!!!!

Answers

Answer:

2

Step-by-step explanation:

-2+4=2

The diagram shows a triangle.
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P-21 degrees
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Answers

Answer:

The value of p is not measure through brain but through the fire

6/8 of a gallon of orange juice is left. Six thirsty people want an equal amount of orange juice. How much does each person get?

Answers

Answer:

they each get 1/8 of a gallon of orange juice

Step-by-step explanation:

Given, OA = OV, what congruency statements can
you make? Check all that apply.
BC = ZY
BE = 2x
CB = Y Z
OZDAB = ZZVX
DE = WX
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Answer: Look at Explanation

Step-by-step explanation:

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Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?​

Answers

Answer:

The slope remains a constant [tex]m=\frac{5}{3}[/tex] as it is parallel.

Explanation:

1. Line Q is defined as a slope of [tex]\frac{5}{3}[/tex]; i.e. [tex]y=\frac{5}{3}[/tex]

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I'm really bad at age chart problems.
Can someone help me with this and provide an explanation?

Answers

Answer: 10

Step-by-step explanation:

tony is 5 years younger than Marvin's age 1 year from now.

t = (m+1) - 5

t = m - 4

6 years ago tony was half as old as marvin was then.

t - 6 = 1/2(m - 6)

Get rid of the fraction, multiply both sides by 2

2(t-6) = m - 6

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5 positive integers are arranged in ascending order, as follows:
5, 7, 10, 11, X
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Find X.

Answers

The answer is: 10.

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PLEASE HELP!! 20 POINTS EACH

Joe's dog ate 8 cans of dog food this week. Each can contained 58.7 grams of protein. How much protein was this in all?

Please and thank you!!

Answers

Answer:

443.2 grams

Step-by-step explanation:

Each can contains 55.4 grams of protein, and there are 8 cans, so the answer would be 55.4*8 = 443.2 grams.

find the surface area of a open box of cardboard whose dimensions are 24cm, 18cm and 14cm

Answers

Answer:

hope this helps

Step-by-step explanation:

l = 24 cm

b = 18 cm

h = 14 cm

S.A of cuboid = 2 (l+b) × h

= 2 (42) × 14

= 84 × 14

= 1,176 cm²

Help needed ASAP!!!!!!!

Answers

Answer: 4 is 110 degrees  and 3 and 1 is 70 degrees.

Step-by-step explanation: 4 is equal to 2 so 4 is 110 degrees 4

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How many faces does a right rectangular prism have if it has 8 vertices and 12 edges?
A. 4 faces
B. 6 faces
C. 8 faces
D. 10 faces

Answers

Answer:

B

Step-by-step explanation:

I think

If c-d=7 and c=3-8i what is d
a) -4+8i
b)-4-8i
c)4+8i
d)4-8i

Answers

Answer:

Step-by-step explanation:

c - d = 7

c = 3 - 8i            Substitute into the top equation

3 - 8i - d = 7      Subtract 3 from both sides

- 8i - d = 7 - 3    Combine

-8i - d =4            Add 8i to both sides

-d = 4 + 8i           Multiply through by -1

-1*-d = -4 - 8i

d = - 4 - 8i

Looks like B is the answer.

Question number seven.

Answers

Answer:

A

Step-by-step explanation:

you divided everything in blankets 3 /-3 is equal to zero

(a-b)^2+2c when a=13,b=6,and c=5

Answers

Answer:

59

Step-by-step explanation:

Given: a = 13, b = 6, and c = 5

(13-6)^2+2 x 5 (=10)

(13-6)^2+10

=59

Answer:

59

Step-by-step explanation:

Given,

a = 13

b = 6

c = 5

To find : ( a - b )^2 + 2c

Answer : -

( a - b )^2 + 2c

= ( 13 - 6 )^2 + 2 ( 5 )

= ( 7 )^2 + 10

= 49 + 10

= 59

Therefore,

the value of ( a - b )^2 + 2c is 59.

pls pls pls help meeee!

Answers

Answer:

x is 90 because it is a right triangle

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