Question

Find the vertex of the function given below. y = x2 - 2x + 1

Answer 1

The formula for the Axis of symmetry is -b/2a. Which is -(-2)/2(1) = 2/2 = 1. The axis of symmetry is the X of the vertex, so just plug the 1 into the equation. So the Y= 0, so the vertex is (1 , 0)

Answer 2

The vertex of the function is (1,0).

What is the standard equation of a parabola?

The standard equation of a parabola is y = a(x-h)² +k, here (h,k) is the vertex of the parabola.

The equation is y = x²-2x+1

y = (x-1)² +0

h =1, k =0

Vertex is (h,k) (1,0)

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