Absolute Value Functions Review

Front

What is the equation of the absolute value function?

Back

f(x)= 4|x - 3|

Front

What is the transformation of the function f(x) = |x| when it is shifted right 3 and up 2?

Back

The function is transformed to f(x) = |x - 3| + 2.

Front

Write the equation for a graph that is vertically compressed by a factor of 2/5 and shifted right 6.

Back

y=2/5|x-6|

Front

What is the domain of the absolute value function?

Back

(-infinity, infinity)

Front

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

Back

Reflected across x-axis, vertical stretch by 2, right 3, up 3.

Front

What does the absolute value function represent graphically?

Back

The distance of a number from zero on the number line.

Front

How does the graph of f(x) = |x| differ from f(x) = |x - 2|?

Back

f(x) = |x - 2| is shifted 2 units to the right.

Front

What is the effect of a negative sign in front of the absolute value function, such as in f(x) = -|x|?

Back

It reflects the graph across the x-axis.

Front

If f(x) = a|x - h| + k, what do the parameters a, h, and k represent?

Back

a: vertical stretch/compression; h: horizontal shift; k: vertical shift.

Front

What is the vertex of the absolute value function f(x) = |x - 3| + 2?

Back

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