Question

Which function could be represented by the graph on the coordinate plane?

f(x) = (x – 8)2 + 6
f(x) = (x + 8)2 + 6
f(x) = (x + 8)2 – 6
f(x) = (x – 8)2 – 6

Answer 1

I don't see the graph — could you upload it or tell me the vertex and whether the parabola opens up or down?

Meanwhile, here are how the four equations map to vertices (all open upward since coefficient is +1):

- f(x) = (x − 8)^2 + 6 → vertex at (8, 6)
- f(x) = (x + 8)^2 + 6 → vertex at (−8, 6)
- f(x) = (x + 8)^2 − 6 → vertex at (−8, −6)
- f(x) = (x − 8)^2 − 6 → vertex at (8, −6)

Pick the one whose vertex matches the graph (and ensure the parabola opens upward).