Answer:
f(x) = 1(x - 4)^2 - 2
Step-by-step explanation:
Recall that the vertex form of the equation of a parabola is
f(x) = a(x - h)^2 + k, where (h, k) is the vertex and a is a scale factor which stretches or compresses the graph vertically.
Looking carefully at the graph, we see that h must be 4 and k must be -2.
Thus, the equation of this parabola is f(x) = 1(x - 4)^2 - 2 (which matches Answer B)
