Which of the following equations represents a vertical stretch by a factor of 3 of the function f(x)=\frac{1}{3}x+2?
1 point
1
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?
1.5 points
1.5
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?
1.5 points
1.5
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)?
1 point
1
Question 8
8.
Select the equations that accurately match the graph.
1 point
1
Question 9
9.
If f(x)=\frac{7}{5}x-3 and g(x)=f(x+10), which equation defines g(x)?
1 point
1
Question 10
10.
Given f(x) = 8x + 1 and g(x) = f(x − 2), which equation represents g?
1 point
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?
1 point
1
Question 12
12.
ENRICHMENT (OPTIONAL)
Let the functions f, g, and h be defined as follows: