Understanding Absolute Value Functions

Front

What is the definition of an absolute value function?

Back

Front

Back

The vertex of the function is the point (h, k) on the graph.

Front

Back

The vertex is found at the point (2, 6). The negative sign indicates the graph opens downwards.

Front

Back

Front

How can you write an absolute value equation so that the vertex will be at (-5,-7)?

Back

Front

What does the coefficient in front of the absolute value function indicate?

Back

The coefficient indicates the vertical stretch or compression of the graph. A value greater than 1 stretches the graph, while a value between 0 and 1 compresses it.

Front

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

Back

A negative coefficient reflects the graph across the x-axis.

Front

How do you write an absolute value equation for a transformation that is narrow, left 5 units, and down 6 units?

Back

Front

What is the general form of an absolute value function?

Back

Front

What does the term 'narrow' mean in the context of absolute value functions?

Back

A 'narrow' function has a coefficient greater than 1, making the V-shape of the graph steeper.