Question

Hey can you please help me posted picture of question

Answer 1

The equation for a parabola can also be written in the "vertex form":
 y = a (x - h) ^ 2 + k
 In this equation, the vertex of the parabola is the point (h, k).
 We have then:
 y = a (x - (-5)) ^ 2 + -2
 Substituting the given point:
 2 = a (-4 - (-5)) ^ 2 + -2
 Clearing a:
 2 = a-2
 a = 4
 Answer:
 a = 4
 option B