PLS HELP. For the function y=-2x^2+4x+1, what are the coordinates of the vertex? Is it a maximum or minimum point? Show all work algebraically to earn full credit

(1,3); Maximum

Step-by-step explanation:

y = -2x² + 4x + 1

y = -2(x² - 2x) + 1

y = -2(x² - 2x + 1 - 1) + 1

y = -2[(x - 1)² - 1] + 1

y = -2(x - 1)² + 2 + 1

y = -2(x - 1)² + 3

Vertex (1,3)

Maximum