Question

Which of the following is the graph of f(x) = –0.5|x + 3| –2?

Answer 1

Answer: it’s D

Explanation:

i just took the test

Answer 2

See attached picture

Explanation:

To graph an absolute value, find the vertex from
`f(x) = a|x-h|+k` where (h,-k) is the vertex. Here (h,-k) is (-3, -2). Then test two points around it like x=-5 and -1.

`f(x) = -0.5|-5+3|-2 = -0.5(2) -2 = -1-2 = -3`

Plot (-5,-3).

`f(x) = -0.5|-1+3|-2 = -0.5(2) -2 = -1-2 = -3`

Plot (-1,-3).

Connect in V shape.