Describe how the graph of each of the following functions can be obtained from the graph of y = f(x). a. y = -2f(x – 1) + 3 b. y = 2f(-3x + 12)

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First, lets consider the general case: `y=af(b(x-h))+k` with parent function `y=f(x)` .

a: This parameter performs a vertical dilation/compression (stretch or shrink vertically). Also, if a<0, then the parent function is reflected across the horizontal axis.(If the function is periodic, a affects the amplitude)

b: This parameter performs a horizontal dilation/compression. In addition, if b<0 the parent function is reflected across the vertical axis.(If the function is periodic, b affects the period and frequency)

h: This parameter performs a horizontal translation...

(The entire section contains 296 words.)

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