Write the equation of a parabola in standard form with vertex (-2,3) that passes through f(2)=7
parabola equation: y=k(x-b)^2+h
b=x component of the vertex, in this case -2
h=y component of the vertex, in this case 3
so you get y=k(x-(-2))^2+3
now plug in f(2)=7, which is x=2, y=7, you get
Thus, the equation of the parabola is y=(1/4)(x+2)^2+3
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