Absolute Value Transformations (Minor) 2

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Front

What is the parent function of absolute value?

Back

The parent function of absolute value is y = |x|.

Front

How does the graph of y = |x| look?

Back

The graph of y = |x| is a V-shaped graph that opens upwards with its vertex at the origin (0,0).

Front

What effect does a negative sign in front of the absolute value have on the graph?

Back

A negative sign in front of the absolute value reflects the graph across the x-axis.

Front

What does a vertical shift of k units mean in the function y = |x| + k?

Back

A vertical shift of k units means the graph moves up if k is positive and down if k is negative.

Front

What does a horizontal shift of h units mean in the function y = |x - h|?

Back

A horizontal shift of h units means the graph moves right if h is positive and left if h is negative.

Front

What is the vertex of the function y = |x - 3| + 1?

Back

The vertex of the function y = |x - 3| + 1 is (3, 1).

Front

How do you write the equation of an absolute value function that reflects across the x-axis and shifts right 2 units and down 7 units?

Back

The equation is y = -|x - 2| - 7.

Front

What transformation does y = |x + 4| represent from the parent function?

Back

The transformation y = |x + 4| represents a left shift of 4 units from the parent function y = |x|.

Front

What is the effect of adding a constant outside the absolute value function?

Back

Adding a constant outside the absolute value function results in a vertical shift of the graph.