Question

How do you write `f(x)= -x^2+10x` into vertex form?

Answer 1

In vertex form we have that

`f(x)=-(x^2-10x+25)+25=>f(x)=-(x-5)^2+25`

Hence the vertex form is `f(x)=a*(x-h)^2+k`

we have that `a=-1` ,`h=5` , `k=25`