Question

Find the vertex of parabola: y=-2x^2+4x+1

Answer 1

(1, 3 )

Explanation:

Given a parabola in standard form : y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

`x_(vertex)` = -
`(b)/(2a)`

y = - 2x² + 4x + 1 ← is in standard form

with a = - 2 and b = 4, thus

`x_(vertex)` = -
`(4)/(-4)` = 1

Substitute x = 1 into the equation for corresponding value of y

y = - 2(1)² + 4(1) + 1 = - 2 + 4 + 1 = 3

Vertex = (1, 3 )