Practice section 3 of 9

Use a graphing calculator to sketch (1) $y=(x+1)(x-3)$ and (2) $y=(-x+1)(-x-3)$. Copy the curves. What do you observe about the curves?

State the transformation which transforms $y=1+1/(x+1)$ to $y=1+1/(1-x)$. On separate diagrams, sketch the two graphs, stating the equations of any asymptotes.

Given $f(x)=x+1$, sketch on separate diagrams (a) $y=-f(x)$ and (b) $y=f(-x)$.

State a sequence of transformations which transforms the graph of $y=f(x)$ to the graph of $y=f(2x)+1$.

State a sequence of transformations which transforms the graph of $y=f(x)$ to the graph of $y=f(2x+1)$.

State a sequence of transformations which transforms the graph of $y=f(x)$ to the graph of $y=2f(x)+1$.