# Thread: Find an equation of the parabola that has a focus at

1. ## Find an equation of the parabola that has a focus at

Focus at (9,7) and vertex at (9,3)

y=??

also find equiaton of directx

y=??

2. $(x-x_0)^2=4a(y-y_0)$ where $(x_0,y_0)$ is the vertex of the parabola. You can see from a figure that $a=7-3=4$. Therefor the equation of the parabola is: $y=\frac {x^2-18x+129}{16}$. The equation of the directrix is: $y=3-4=-1$.

3. Originally Posted by tiga killa
Focus at (9,7) and vertex at (9,3)

y=??

also find equiaton of directx

y=??
Hi tiga killa,

See diagram.