Homework – the book isn’t good for this section (it does things another way), so here is your homework:
Name ________________
1. Describe the transformations of y = f(x) for each function:
a. y = 5f(x + 3)
b. y = f(2x + 6)
c. y = -f(6(x-1)) +3
2
d. y = 3f(-x + 1)
2. If the coordinates (8, -5) is on y = f(x), what are the coordinates that must be on the graphs of
a. y = 2f(-x)
b. y = -f(2(x-1)
c. y = 3f(4x) + 5
d. y = f(4x – 16) -1
3. Consider the function y = x2. What would be the new equation after the function is first expanded
vertically by a factor of 4, then expanded horizontally by a factor of 3 and then translated 2 units up?
4. Consider the function y = x2.
a. What would be the equation if the function is compressed horizontally by a factor of ½, followed by
a translation 6 units right?
b. Challenge: how would the equation be different if the function was first translated 6 units right, then
compressed horizontally by a factor of ½?
5. The graph of y = f(x) is shown by the dotted line on the
right.
a. Graph y = -3f(x-2) on the same graph.
b.
Graph y = 2f(2x – 6) on the graph below.
6. Consider the graph on the right. Sketch the graph
of y = f(-x + 4)
7. Consider the graph of y = f(x) on the left below.
What equation will give you the graph on the right?
a.
b.
c.
d.
The graph of y = f(x) is shown on the left. Graph
y = - f(x) + 2 on the same graph
9. Graph y = f(2(x – 3)) on the graph to the right
10. Consider the graph of y = f(x) below left.
1
Sketch y = f( 3(x+2)) -1 on the same graph
11. Consider the graph of y = f(x) on the below
right. Graph y = -2f(x – 3) + 1
12. Consider the graph of y = f(x). Sketch the graph of y = ½ f(2x – 4)
13. Sketch the graph of y = f(-x + 5) - 3
14. The y – intercept on the graph of y = f(x) is -20.
What is the new y intercept for the graph of y = -2f(3x) + 1?