Absolute Value Functions Flashcard

Front

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

Back

The vertex is the point where the graph changes direction, located at (0, 0).

Front

What transformation shifts the graph of y = |x| upward by 3 units?

Back

y = |x| + 3.

Front

What does the graph of y = -|x| look like?

Back

The graph opens downward and has a vertex at (0, 0).

Front

How do you find the vertex of the function y = |x - 2| + 3?

Back

The vertex is at (2, 3).

Front

What transformation results in shifting the graph of y = |x| to the left by 2 units?

Back

y = |x + 2|.

Front

What is the effect of a negative sign in front of an absolute value function?

Back

It reflects the graph across the x-axis.

Front

What is the vertex of the function y = -|x + 1| - 4?

Back

The vertex is at (-1, -4).

Front

Which transformation results in shifting the graph of y = |x| to the right by 5 units?

Back

y = |x - 5|.

Front

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

Back

The vertex is at (-3, -2).

Front

What does the graph of y = |x| + 5 represent?

Back

It shifts the graph of y = |x| upward by 5 units.