Answer
f(x)=-3(x+1)^2+5
Work Step by Step
f(x)=a(x-h)^2+k
y=a(x-h)^2+k
y=a(x+1)^2+5
-7=a(-3+1)^2+5
-12=a(-3+1)^2
-12=a(-2)(-2)
-12=a(4)
-12/4=a(4)/4
a=-3
Plug in a, h, k into the first equation
f(x)=-3(x+1)^2+5
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