Question

What is the vertex of the graph of f(x) = |x + 5| – 6?

(–6, –5)
(–6, 5)
(–5, –6)
(5, –6)

Answer 1

C (-5,-6)

Explanation:

Answer 2

This graph is absolute value graph where the value of |x + 5| would be always positive. In this graph, the vertex would be when the absolute value =0 since it was the lowest part of the graph. Then the vertex Y-coordinate would be:

f(x) = |x + 5| – 6
y = 0-6= -6

f(x) = |x + 5| – 6
-6 = |x + 5| – 6
|x + 5| =0
x= -5

The coordinate would be: (-5. -6)