Question

Which functions have a vertex with a x-value of 0? Select three options.

f(x) = |x|
f(x) = |x| + 3
f(x) = |x + 3|
f(x) = |x| − 6
f(x) = |x + 3| – 6

Answer 1

The functions with vertex x = 0 are:
- f(x) = |x|
- f(x) = |x| + 3
- f(x) = |x| − 6

(Adding or subtracting outside the absolute value shifts vertically, not horizontally; |x + 3| shifts the vertex to x = −3.)