Question

Describe the graph of the function. y = |x – 4| – 7

The graph is an absolute value function with vertex (4, –7).
The graph is an absolute value function with vertex (7, –4).
The graph is an absolute value function with vertex (–4, –7).
The graph is an absolute value function with vertex (–4, 7).

Answer 1

The graph is an absolute value function with vertex (4, –7)

Explanation:

|x-4| is always positive

minimal value of |x-4| = 0

x-4 = 0 x=4

y = |4-4| - 7 = -7