Absolute Value Transformations Flashcard

Front

What does absolute value mean?

Back

Distance from zero.

Front

What is the equation of the graph that represents a reflection across the x-axis and a vertical shift up?

Back

Front

Describe the transformation of the equation y = -2 | x - 3 | + 3 starting from the parent function y = |x|.

Back

Reflect across x-axis, vertical stretch by a S.F. of 2, shift 3 units to the right, shift 3 units up.

Front

What is the range of the absolute value function?

Back

Front

What transformations are applied to the function f(x) = |x| to create a vertical stretch by a factor of 2, a horizontal shift 1 unit to the left, and a vertical shift 9 units down?

Back

f(x) = 2|x + 1| - 9.

Front

What is the parent function of absolute value?

Back

y = |x|.

Front

How does a vertical stretch affect the graph of an absolute value function?

Back

It makes the graph steeper.

Front

What does a horizontal shift to the left by 3 units do to the function f(x) = |x|?

Back

It transforms it to f(x) = |x + 3|.

Front

What is the effect of a vertical shift up by 5 units on the function f(x) = |x|?

Back

It transforms it to f(x) = |x| + 5.

Front

What is the effect of a negative sign in front of an absolute value function?

Back

It reflects the graph across the x-axis.