Function Transformations

Front

What is a function transformation?

Back

A function transformation refers to the changes made to the graph of a function, including shifts, stretches, compressions, and reflections.

Front

What does the transformation p(x) = f(x + 3) represent?

Back

The graph of f(x) is shifted left by 3 units.

Front

What does the transformation h(x) = f(x) + 2 represent?

Back

The graph of f(x) is shifted up by 2 units.

Front

What type of function is represented by the equation y = |x|?

Back

Absolute value function.

Front

Which equation represents a quadratic function translated up 5 units?

Back

y = x² + 5.

Front

What does the transformation y = (x - 5)² represent?

Back

The graph of the parent quadratic function y = x² is shifted right by 5 units.

Front

What is the effect of a vertical stretch on a function?

Back

A vertical stretch increases the distance between points on the graph and the x-axis, making the graph taller.

Front

What does the transformation y = -f(x) represent?

Back

The graph of f(x) is reflected over the x-axis.

Front

What does the transformation y = f(x - 2) represent?

Back

The graph of f(x) is shifted right by 2 units.

Front

What is the parent function of a quadratic function?

Back

The parent function of a quadratic function is y = x².