find equation of a parabola having vertex (-2,3) and (-6,5)

Question

how do I do this problem, please help. Thank you.

Answer 1

Using vertex form,

y = a(x+2)^2 + 3

Plug in (-6, 5),

5 = a(-6+2)^2 + 3 => a = 1/8

Answer: y = (1/8)(x+2)^2 + 3