Which equation represents a graph with a vertex at (-3, 2) ? y = 4x2 + 24x + 38 y = 4x2 - 24x + 38 y = 4x2 + 12x + 2 y = 4x2 + 16x + 13

Vertex at (h, k) can be represented as

y=a (x-h) ²+k

so given

(h, k) = (-3,2)

y=a (x - (-3)) ²+2

y=a (x+3) ²+2

expand

y=a (x²+6x+9) + 2

y=ax²+6ax+9a+2

ok, we see that all of them have 4x² in front

ax²=4x²

so a=4

y=4x²+6 (4) x+9 (4) + 2

y=4x²+24x+36+2

y=4x²+24x+38

2nd option