Find the vertex of the equation given.

Question

Equation: y=-2(x-5)(x-1)

Answer 1

the vertex lies on the axis of symmetry.
That axis must lie midway between the roots, because the graph is symmetric.
So, the x-coordinate of the vertex is at (5+1)/2 = 3
y(3) = -2(3-5)(3-1) = -2(-2)(2) = 4
The vertex is at (3,4)