1. Ex: Express h(x) so that it represents the graph of f(x) = x2 – 3 reflected over the x-axis? y-axis?

2. Stretching & Shrinking
Complete the exploration on p. 136
First 8 min. No talking
Last 8 min. you can discuss with a neighbor

3. Stretches and Shrinks
Let c be a positive real number. The following transformations result in stretches or shrinks of the graph of y = f(x).
Horizontal stretches or shrinks
y = f(x/c) a stretch by a factor of c if c > 1
a shrink by a factor of c if c < 1
Vertical stretches or shrinks
y = cf(x) a stretch by a factor of c if c > 1

4. a) f(x) = |x + 2| b) f(x) = x2 + x - 2
Ex 3 Transform the given function by (a) a vertical stretch by a factor of 2 and (b) horizontal shrink by a factor of 1/3.
a) f(x) = |x + 2| b) f(x) = x2 + x - 2

5. Combining Transformations
The order in which transformations are performed often affect the graph that results
Ex 4 Use f(x) = x2 to perform each transformation. Write the formula for the resulting function.
A horizontal shift 2 units to the right, a vertical stretch by a factor of 3, and vertical translation 5 units up
Apply the transformations in the reverse order
Are the graphs the same? Are the formulas the same?

6. Tonight’s Assignment P. 140-141
Study for Unit #1B Test on Tuesday, Sept. 25th