Question

What is the equation of the graph below?

Answer 1

you know it looks like
\[y=a(x+3)^2-1\] and you also know if you replace x by -2 you get 0, so you can solve for "a"

Answer 2

in fact you just get
\[a=1\] so this is
\[y=(x-3)^2+1=(x+4)(x+2)=x^2+6x+8\]