Review question

# How do these transformations change the graph of $f(x)$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9673

## Question

The diagram shows the graph for $y = f(x)$. The curve passes through the origin, and has a maximum point at $(1, 1)$. Sketch, on separate diagrams, the graphs of

1. $y = f(x) + 2$,

2. $y = f(x + 2)$,

3. $y = f(2x)$,

giving the coordinates of the maximum point in each case.