Friday Practice - Absolute Value & Transformations

Front

What is the range of the absolute value function?

Back

[0, infinity)

Front

What is the equation of the graph that represents f(x) = |x + 2| - 3?

Back

f(x) = |x + 2| - 3

Front

Write the equation for an absolute value graph that has a vertical shrink by 2/5 and a horizontal shift right 6.

Back

y=2/5|x-6|

Front

Describe the transformation applied to the parent function f(x) = |x| - 5.

Back

Vertical Shift down 5

Front

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

Back

reflected over x axis, stretch by 2, right 3, up 3

Front

What is the parent function of absolute value?

Back

y = |x|

Front

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

Back

It moves the graph up or down without changing its shape.

Front

What effect does a horizontal shift have on the graph of y = |x|?

Back

It moves the graph left or right without changing its shape.

Front

What does a negative sign in front of an absolute value function indicate?

Back

It reflects the graph over the x-axis.

Front

What is the effect of a coefficient greater than 1 in front of |x|?

Back

It stretches the graph vertically.