grade 11 · A2-001

Transform a function graph

Connect changes inside and outside function notation to horizontal and vertical graph changes.

Learn togetherFresh problem · seed 1572687491

How does \(g(x)=f(x)-3\) transform the graph of \(f\)?

Let's work it out together.

Work through one checkpoint at a time. Your answer area opens after the reasoning.

Checkpoint 1

Changes outside f move the graph vertically.
Checkpoint 2

Changes inside the input move the graph horizontally in the opposite visible direction.
Checkpoint 3

Test one familiar point if the direction is uncertain.

Shift the graph right 3 units.Shift the graph left 3 units.Shift the graph up 3 units.Shift the graph down 3 units.