Download Quiz 1.

Checkpoint Quiz 1.8

Name:

1. The complete graph of y = f (x) is given below.

(0, 1)

(2, 3)

(4, 2)

(5, 0) x

y

1 2 3 4

2

3

4

5

y = f (x)

Let g(x) = 3 − f (

1−x 2

) . Sketch the graph of y = g(x). From your graph, determine the domain and

range of g. List the intervals over which g is increasing and the intervals over which g is decreasing. List the local maximums and local minimums, if any.

2. Let f (x) = x2. Find a formula for a function g whose graph is obtained from the graph of y = f (x) after the following sequence of transformations:

• Shift left 3 units. • Reflection across the y-axis. • Shift down 1 unit. • Vertical scaling by a factor of 2. • Reflection across the x-axis.