Absolute Value Graphs

Front

What is the equation of the absolute value function?

Back

f(x) = |x| + 4

Front

If the blue graph is the parent function f(x)=|x|, what is the red graph if it is g(x)=|x-2|?

Back

g(x) = |x-2|

Front

What does the equation y = |x| - 7 do to the graph?

Back

It slides the graph down 7 units.

Front

Which function defines the graph if it is f(x) = |x + 4| + 3?

Back

f(x) = |x + 4| + 3

Front

What transformation does the function f(x) = |x - 3| + 4 represent?

Back

It shifts the graph right 3 units and up 4 units.

Front

What is the parent function of absolute value?

Back

f(x) = |x|

Front

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

Back

It shifts the graph up by k units.

Front

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

Back

It reflects the graph across the x-axis.

Front

What is the vertex of the graph of f(x) = |x| + 4?

Back

The vertex is at (0, 4).

Front

How do you determine the transformations of the graph of f(x) = |x - 2| + 3?

Back

It shifts right 2 units and up 3 units.