0 and 10 are the roots....and the verex is at x = 5
So...the point (5, -100) is on the graph
The x coordinate of the vertex = -b/[ 2a] = 5 → b = -10a
And the product of the roots = c/a.....so 0 * 10 = 0 = c/a → c = 0
And we know that
a(5)^2 - 10a(5) = -100
25a - 50a = - 100
-25a = - 100 divide by -25
a = 4
And b = -10(4) = - 40
So....the function is :
y = 4x^2 - 40x
Here's a graph :
https://www.desmos.com/calculator/lt3x4r8nt7