Absolute Value Graphs

Front

What is the parent function of absolute value?

Back

f(x) = |x|

Front

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

Back

It is translated 2 units to the right.

Front

What transformation does g(x) = |x + 4| + 7 represent?

Back

Translated left 4 units and up 7 units.

Front

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

Back

(0, 0)

Front

What is the vertex of the function y = |x - 1| - 1?

Back

(1, -1)

Front

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

Back

It is translated 2 units up.

Front

What transformation does g(x) = |x - 3| represent?

Back

Translated right 3 units.

Front

What is the effect of a negative sign in front of the absolute value, like in g(x) = -|x|?

Back

It reflects the graph across the x-axis.

Front

What is the transformation of the function y = |x + 2| - 3?

Back

Translated left 2 units and down 3 units.

Front

What does the vertex of an absolute value function represent?

Back

The minimum or maximum point of the graph.