Parent Functions

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, which retains the essential characteristics of that family.

Front

What transformation is applied to the parent function f(x) = |x| to get f(x) = |x + 8|?

Back

Shifts left 8 units.

Front

Which equation represents an absolute value function shifted right 5 units?

Back

y = |x - 5|.

Front

What transformation does the equation f(x) = x - 4 represent?

Back

A shift down 4 units.

Front

How do you translate the quadratic function f(x) = x^2 left 4 units?

Back

y = (x + 4)^2.

Front

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

Back

A reflection over the x-axis.

Front

If f(x) = |x|, what is the transformation for f(x) = |x| + 3?

Back

A shift up 3 units.

Front

What is the effect of the transformation f(x) = |x - 2|?

Back

A shift right 2 units.

Front

How does the equation f(x) = (x - 1)^2 transform the parent function f(x) = x^2?

Back

It shifts the graph right 1 unit.

Front

What transformation does f(x) = |x| - 5 represent?

Back

A shift down 5 units.