Find a function whose graph has the same shape as y 5x2 BUT

Find a function whose graph has the same shape as y = 5x^2, BUT such that the function has a minimum value of 6 at x = 2.

Solution

y = 5x^2

General equation of parabolic eqution: y = a(x-h)^ +k

where (h,k) is the vertex where maximum or minimum occurs

So, h=2 and k=6 minimum occurs.

y = 5(x-2)^2 +6 Solution