ACP Review Transformations of Functions

Front

What is the parent function of an absolute value function?

Back

Front

What transformation does the equation y = -|x| represent?

Back

The equation y = -|x| represents a reflection of the absolute value function across the x-axis.

Front

How does the transformation y = |x - 2| affect the graph of the parent function?

Back

The transformation y = |x - 2| shifts the graph of the parent function 2 units to the right.

Front

What does the transformation y = |x| + 3 do to the graph?

Back

The transformation y = |x| + 3 shifts the graph of the parent function 3 units up.

Front

What is the effect of a vertical compression by a factor of 1/2 on the function f(x)?

Back

A vertical compression by a factor of 1/2 makes the graph of f(x) flatter, reducing its steepness.

Front

What does the transformation y = -rac{1}{2}|x| do to the graph?

Back

The transformation y = -rac{1}{2}|x| reflects the graph across the x-axis and compresses it vertically by a factor of 1/2.

Front

What is the result of shifting the graph of f(x) = |x| down 4 units?

Back

The result is the function g(x) = |x| - 4.

Front

What does the transformation h(x) = |x + 5| represent?

Back

The transformation h(x) = |x + 5| shifts the graph of the parent function 5 units to the left.

Front

How does the transformation y = 3|x| affect the graph of the parent function?

Back

The transformation y = 3|x| stretches the graph vertically by a factor of 3.

Front

What is the effect of the transformation y = |x| - 2?

Back

The transformation y = |x| - 2 shifts the graph of the parent function down 2 units.