parent functions and transformations

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, representing the basic shape of the graph.

Front

Name the parent function for linear equations.

Back

The parent function for linear equations is f(x) = x.

Front

What is the parent function for quadratic equations?

Back

The parent function for quadratic equations is f(x) = x².

Front

Describe the transformation: y = (x - 2)².

Back

Translated right 2.

Front

What does it mean to translate a graph up?

Back

To translate a graph up means to shift the entire graph vertically in the positive y-direction.

Front

What does it mean to translate a graph down?

Back

To translate a graph down means to shift the entire graph vertically in the negative y-direction.

Front

Which transformation is represented by y = (x + 3)²?

Back

Translated left 3.

Front

What is the parent function for absolute value?

Back

The parent function for absolute value is f(x) = |x|.

Front

How does the graph of y = -x² differ from y = x²?

Back

The graph of y = -x² is a reflection of y = x² across the x-axis.

Front

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

Back

A vertical stretch makes the graph of the function taller and narrower.