Answer:
(c) y = (x +5)² -3
Explanation:
The vertex is the point on the graph where the function is a minimum. The graph opens upward, so the leading coefficient is positive.
The vertex is (h, k) = (-5, -3).
The vertex form of the equation for a parabola is ...
y = (x -h)² +k
Using the values we read from the graph, the equation is ...
y = (x -(-5))² +(-3)
y = (x +5)² -3