Suppose `y=x^(2)`. Describe the graph of `y=(x+2)^(2)`.

Explanation

In this example h=-2, so `(x+2)^(2)=f(x+2)`. As shown in the figures below, each point on the graph of `y=(x+2)^(2)` is 2 units to the left of the corresponding point on the graph of `y=x^(2)`.

y=af(x) stretches (shrinks) f(x) vertcally by a factor of `|a|" if "|a|gt1(|a|lt1)`.
y=f(ax) shrinks (stretches) f(x) horizontally by a factor of `|(1)/(a)|" if "|a|gt1(|a|lt1)`.