Exercises: Identifying Transformations of Graphs

For each problem, identify the transformation described and express your answer in the form requested.

Grade 9·21 problems·~30 min·Common Core Math - HS Functions·group·hsf-bf-b-3

Work through problems with immediate feedback

Fluency Practice

Apply the transformation rules to identify the effect on the graph.

How does the graph of $y = f(3x)$ compare to the graph of $y = f(x)$ ?

Horizontally stretched by a factor of 3 (wider)

Horizontally compressed by a factor of $\frac{1}{3}$ (narrower)

Vertically stretched by a factor of 3

Shifted right 3 units