Question 981193
{{{y=a(x+1.5)^2-12.5}}}, just using standard form and the given vertex.


Solve the equation for a.
{{{a(x+1.5)^2=y+12.5}}}
{{{a=(y+12.5)/(x+1.5)^2}}}


Use the given y-intercept coordinates in the formula for a.
{{{a=(-8+12.5)/(0+1.5)^2}}}
{{{a=(4.5)/(1.5^2)}}}
{{{a=2}}}


{{{highlight(y=2(x+1.5)^2-12.5)}}}