Answer:
2(x+1)²-3
Explanation:
Using the vertex formula we can write the follwoing equation
y=a(x+1)²-3
We need to solve for a
we know that when x= 2 y = 15
So we can write
15=a(2+1)²-3
15=9a-3
18=9a
a=2
Which means our final equation is
2(x+1)²-3
in standard form (just in case)
2x²+4x-1