Absolute Value Transformations Practice

Front

What is the parent function for absolute values?

Back

y = |x|

Front

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

Back

Shifts down 5

Front

Describe the transformation of the equation below from the parent function of y = |x|: y = |x + 3|

Back

Left 3

Front

How does the following graph shift from the parent function y = |x|? y = |x| - 8

Back

Shift down

Front

Use the standard form: f(x)=a|x-h|+k. What is the vertex of the following function? y= -4|x+2|+5

Back

(-2, 5)

Front

What does the 'a' represent in the standard form f(x)=a|x-h|+k?

Back

The 'a' represents the vertical stretch or compression and the direction of the graph (upward if a > 0, downward if a < 0).

Front

What effect does changing 'h' have in the function f(x)=a|x-h|+k?

Back

Changing 'h' shifts the graph horizontally. If h is positive, the graph shifts right; if h is negative, it shifts left.

Front

What effect does changing 'k' have in the function f(x)=a|x-h|+k?

Back

Changing 'k' shifts the graph vertically. If k is positive, the graph shifts up; if k is negative, it shifts down.

Front

What is the vertex of the parent function y = |x|?

Back

(0, 0)

Front

If a = 2 in the function f(x) = 2|x|, how does the graph compare to the parent function?

Back

The graph is vertically stretched by a factor of 2.