Absolute Value Graphs

Front

What is the vertex of the absolute value function y = a|x - h| + k?

Back

The vertex is the point (h, k).

Front

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

Back

If 'a' is positive, the graph opens upwards; if 'a' is negative, it opens downwards.

Front

What does the 'h' represent in the function y = a|x - h| + k?

Back

The 'h' represents the horizontal shift of the graph.

Front

What does the 'k' represent in the function y = a|x - h| + k?

Back

The 'k' represents the vertical shift of the graph.

Front

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

Back

Changing 'h' shifts the graph left or right along the x-axis.

Front

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

Back

Changing 'k' shifts the graph up or down along the y-axis.

Front

What is the general shape of an absolute value graph?

Back

The graph forms a V shape.

Front

How do you find the maximum or minimum value of an absolute value function?

Back

The maximum or minimum value occurs at the vertex of the graph.

Front

What is the equation of the absolute value function that opens upwards?

Back

y = |x| + k, where k is a constant.

Front

What is the equation of the absolute value function that opens downwards?

Back

y = -|x| + k, where k is a constant.