Question

Which function is represented by the graph?

f(x) = –|x| + 4
f(x) = –|x| – 4
f(x) = –|x + 4|
f(x) = –|x – 4|

Answer 1

I don’t see the graph — could you upload the image or describe it (especially the vertex)?

How to pick the right formula:
- These are all downward V’s (because of the leading minus). So the only thing that distinguishes them is the vertex location.
- General form: y = −|x − h| + k has vertex at (h, k).
Match the vertex to the choices:
- Vertex (0, 4) → f(x) = −|x| + 4
- Vertex (0, −4) → f(x) = −|x| − 4
- Vertex (−4, 0) → f(x) = −|x + 4|
- Vertex (4, 0) → f(x) = −|x − 4|

Tell me the vertex (or upload the graph) and I’ll pick the correct one.