Absolute Value Transformations

Front

What is the parent function of absolute value?

Back

y = |x|

Front

How does the equation y = |x + 2| - 5 transform the parent function?

Back

Shifts left 2 and down 5.

Front

What is the range of the function y = |x| + 3?

Back

[3, ∞) because the minimum value is 3.

Front

Describe the transformation of y = |x| - 4.

Back

Shifts down 4.

Front

What does the equation y = |x - 1| + 2 represent in terms of transformations?

Back

Shifts right 1 and up 2.

Front

What is the effect of a negative sign in front of the absolute value, like in y = -|x|?

Back

It reflects the graph across the x-axis.

Front

If y = |x| + 5, what is the transformation from the parent function?

Back

Shifts up 5.

Front

What is the domain of the function y = |x|?

Back

All real numbers, (-∞, ∞).

Front

How do you determine the vertex of the absolute value function y = |x - 3| + 2?

Back

The vertex is at the point (3, 2).

Front

What is the transformation of y = |x + 4|?

Back

Shifts left 4.