Chapter exploration

Graph transformations

Explore

Use the worked example below, then change one input or assumption. Predict which part of the answer must change before calculating.

Explore this related example, then return to the prediction task above.

Step through the two transformations. The faint curve is where the graph was before the step.

Start: y = f(x)

The printed graph, with $A(4,3)$ , $B(1,-1)$ , $C(3,0)$ and asymptotes $x=2$ , $y=1$ .

Ideas to try

Look at point C. It lies on the $x$ -axis, so doubling does nothing to it. Then +1 lifts it to $y=1$ .
Which coordinates change at each step?