Answer: A
Step-by-step explanation:
Substituting into vertex form, we get that:
[tex]f(x)=a(x-10)^{2}[/tex]
Where a is a constant.
Now we know that it passes through the point (0, -25), so we can use that to find a.
[tex]-25=a(0-10)^{2}\\-25=100a\\a=-1/4[/tex]
So we get that [tex]f(x)=-\frac{1}{4}(x-10)^{2}[/tex]
