Parent Functions and Transformations

Front

What is the parent function of a linear function?

Back

The parent function of a linear function is f(x) = x.

Front

What is the range of a quadratic function?

Back

The range of a quadratic function is [0, ∞) if the vertex is at the minimum point.

Front

What is the parent function of an absolute value function?

Back

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

Front

What transformation does f(x + 3) represent?

Back

A horizontal shift to the left 3.

Front

What transformation does f(x) + 5 represent?

Back

A vertical shift up 5.

Front

What is the parent function of a constant function?

Back

The parent function of a constant function is f(x) = c, where c is a constant.

Front

What is the range of the sine function?

Back

The range of the sine function is [-1, 1].

Front

What is the range of the cosine function?

Back

The range of the cosine function is [-1, 1].

Front

What transformation does f(2x) represent?

Back

A horizontal compression by a factor of 1/2.

Front

What transformation does f(x - 1) represent?

Back

A horizontal shift to the right 1.