Absolute Value Graphs

Front

What is the vertex of the absolute value function?

Back

(0, 4)

Front

What is the equation of the absolute value function that shifts up by 4?

Back

f(x)= |x| + 4

Front

Which graph represents the parent function of an Absolute Value?

Back

Blue

Front

If the blue graph is the parent function f(x)=|x|, what is the equation of the red graph?

Back

g(x)=|x-2|

Front

What does the equation y = |x - 3| indicate about the graph's movement?

Back

The graph slides right 3.

Front

What is the parent function of absolute value?

Back

f(x) = |x|

Front

How does the graph of f(x) = |x + 2| differ from the parent function?

Back

It shifts left 2.

Front

What effect does the negative sign have in the function g(x) = -|x|?

Back

It reflects the graph over the x-axis.

Front

What is the range of the absolute value function f(x) = |x|?

Back

[0, ∞) (all non-negative values)

Front

What transformation does the equation y = |x| - 4 represent?

Back

The graph shifts down 4.