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Find the vertex by completing the square

One way to find the vertex of a parabola is to turn the standard form of the quadratic equation into vertex form by completing the square. The primary difference between solving a quadratic

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Finding the Vertex of a Parabola by Completing the Square

The vertex of the parabola y = x 2 − 12 x + 40 y=x^2-12x+40 y = x 2 − 1 2 x + 4 0 is P = (a, b) P=(a, b) P = (a, b). If the y y y-intercept is Q = (0, c) Q=(0, c) Q = (0, c), what is the value of a + b + c a+b+c a + b + c?

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Standard Form to Vertex Form

!In the given quadratic function y = ax 2 + bx + c, factor a from the first two