Question

Find the y-coordinate of the vertex of the parabola whose equation is y = x^2 - x + 2.

Answer 1

Vertex = (.5, 1.75)
First, you must find your x-value, which is represented by h in the formula h=-b/2a. In this equation, A = 1, B = -1, C = 2, which gives you -1(-1)/2(1) = 1/2 = .5. Now that you know your x-value is .5, you can solve for y. Plug in your x-value accordingly: (.5)^2-.5+2 = 1.75. x = .5, y = 1.75, therefore, your vertex is (.5,1.75)

Answer 2

Vertex x = -b/2a so x = 1/2. Plug in x and u get 3/2