I NEED HELP ASAP

Question

Write an equation in standard form of the parabola that has the same shape as the graph of f(x)=5x^2

but with the given maximum or minimum.

Maximum=1

at x=6

Answer 1

max (6,1) = the vertex =(h,k) where y = 5(x-h)^2 + k

y = 5(x-6)^2 + 1 in vertex form

or expand

y = 5x^2-60x +181 in standard form

it's the original graph shifted right 6 and up 1