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L3-3 Review

Last updated about 2 years ago

12 questions

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Question 1

1.

Inspect the graph below. What is the value of k?

Question 2

2.

Inspect the graph below. What is the value of k?

Question 3

3.

Inspect the graph below. What is the value of k?

Question 4

4.

Which of the following equations represents a vertical stretch by a factor of 3 of the function f(x)=\frac{1}{3}x+2?

g(x)=x+6

g(x)=x+2

g(x)=\frac{1}{9}x+6

g(x)=\frac{1}{3}x+6

Question 5

5.

Which of the following equations represents a horizontal translation 6 units to the left of the function f(x)=\frac{1}{3}x+2?

g(x)=\frac{1}{3}x+4

g(x)=2x+8

g(x)=2x-4

g(x)=\frac{1}{3}x-4

Question 6

6.

Given f(x) = –7x + 9 and h(x) = –5(–7x + 9), what are the slope and y-intercept of the graph of function h?

Question 7

7.

Let f(x)=3x-1 and h(x)=f(-2x).

A. What is the slope-intercept equation for h(x), (something like h(x)=mx+b)?
B. What is the slope of h(x)?
C. What is the y-intercept of h(x)?

Question 8

8.

Select the equations that accurately match the graph.

f(x)=\frac{3}{2}x-2 \textrm{ and } g(x)=\frac{3}{2}x+2

f(x)=\frac{2}{3}x-2 \textrm{ and } g(x)=-\frac{2}{3}x+2

f(x)=\frac{3}{2}x+2 \textrm{ and } g(x)=-\frac{3}{2}(-x)-2

f(x)=-\frac{2}{3}x+2 \textrm{ and } g(x)=\frac{2}{3}x-2

Question 9

9.

If f(x)=\frac{7}{5}x-3 and g(x)=f(x+10), which equation defines g(x)?

g(x)=\frac{57}{5}x-3

g(x)=\frac{7}{5}x+7

g(x)=14x-3

g(x)=\frac{7}{5}x+11

Question 10

10.

Given f(x) = 8x + 1 and g(x) = f(x − 2), which equation represents g?

g(x)=8x-15

g(x)=6x-1

g(x)=8x+15

g(x)=6x+1

Question 11

11.

Keenan buys an embroidery machine for $1,400. He uses it to embroider T-shirts. His total profit in dollars from selling the T-shirts is represented with the function f(x) = 12x − 1,400. When the machine breaks, he pays $135 to have it fixed. How does that cost affect a graph of Keenan’s profit function?

The graph is translated to the right 135 units.

The graph is translated to the left 135 units.

The graph is translated up 135 units.

The graph is translated down 135 units.

Question 12

12.

ENRICHMENT (OPTIONAL)

Let the functions f, g, and h be defined as follows:

f(x)=x+1
g(x)=\frac{1}{2}x
h(x)=-x

Describe the following transformations:

A) From f(x) to f(g(x))
B) From f(x) to g(f(x))
C) From f(x) to f(h(x))
D) From f(x) to h(f(x))