Answer:
Step-by-step explanation:
If the parabola opens downward, and we have a p value (which is the distance from the vertex to the focus), the form of the equation we need is:
[tex]-(x-h)^2=4p(y-k)[/tex]
If the vertex is (32, 26), then h = 32 and k = 26. If the focus is located 20 units from the vertex, then p = 20. Filling in:
[tex]-(x-32)^2=4(20)(y-26)[/tex] and
[tex]-(x-32)^2=80(y-26)[/tex] and
[tex]-\frac{1}{80}(x-32)^2=y-26[/tex] so the equation is
[tex]-\frac{1}{80}(x-32)^2+26=y[/tex]
You didn't give choices so I'm not sure what form you need this in. This is vertex (or work) form.
