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.

Which transformation does $y = -2f(x)$ apply to the graph of $y = f(x)$ ?

Shift down 2 units

Vertical stretch by factor 2 and reflection over the $x$ -axis

Horizontal compression by factor 2 and reflection over the $y$ -axis

Vertical compression by factor $\frac{1}{2}$ and reflection over the $x$ -axis