Absolute value graphs

Front

What is the equation of the absolute value function?

Back

f(x) = |x|

Front

What does the vertex of the function y = a|x - h| + k represent?

Back

The vertex is the point (h, k) where the graph changes direction.

Front

How does the value of 'a' in y = a|x - h| + k affect the graph?

Back

If |a| > 1, the graph is narrow; if 0 < |a| < 1, the graph is wide.

Front

What is the effect of 'h' in the function y = |x - h|?

Back

The graph shifts horizontally; right if h is positive, left if h is negative.

Front

What is the effect of 'k' in the function y = |x| + k?

Back

The graph shifts vertically; up if k is positive, down if k is negative.

Front

What is the parent function of absolute value?

Back

f(x) = |x|.

Front

What is the vertex of the function y = 2|x - 3| + 1?

Back

(3, 1).

Front

How does the graph of y = |x - 3| differ from y = |x|?

Back

It is shifted right by 3 units.

Front

What does a negative 'a' value indicate in y = a|x - h| + k?

Back

The graph opens downwards, reflecting over the x-axis.

Front

What is the width comparison of y = 5/2|x - 1| + 2 to the parent function?

Back

Narrow.