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

(1, 3 )

Step-by-step explanation:

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

Then the x- coordinate of the vertex is

= -

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

with a = - 2 and b = 4, thus

= - = 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 )

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step-by-step explanation: