What is the graph of the absolute value function #f(x) = 4 | x | – 2#?

1 Answer
Dec 29, 2017

Answer:

The graph of #f(x)# is the standard "V" graph of #absx# scaled by 4 units and shifted 2 units negative ("down") on the #y-#axis.

Explanation:

#f(x) =4absx-2#

Let's first consider the "parent" graph #y=absx#

This is the standard "V" graph shown below:

graph{absx [-10, 10, -5, 5]}

Now, #f(x)# is this standard graph scaled by 4 units and shifted 2 units negative ("down") on the #y-#axis. As below:

graph{4absx-2 [-10, 10, -5, 5]}