Function Transformations

Front

What are the transformations in the function y=(x-2)^3 + 4?

Back

Horizontal shift right 2 and vertical shift up 4.

Front

Describe the transformation that occurred in m(x) = f(x + 1).

Back

Left 1 unit.

Front

Name the parent function of the equation y = x^3.

Back

Cubic.

Front

Describe the transformation of the equation y = |x - 4| from the parent function y = |x|.

Back

Right 4.

Front

Describe the transformation that occurred in w(x) = f(x - 7).

Back

Right 7.

Front

What is a vertical shift in function transformations?

Back

A vertical shift moves the graph up or down without changing its shape.

Front

What does a horizontal shift do to a function?

Back

A horizontal shift moves the graph left or right.

Front

What is the effect of a negative sign in front of a function, such as y = -f(x)?

Back

It reflects the graph across the x-axis.

Front

What does a vertical stretch do to a function?

Back

It makes the graph taller and steeper.

Front

What is the parent function of a quadratic equation?

Back

y = x^2.