Quadratic In Vertex Form Math

When graphing a quadratic equation in vertex form y a x h 2 k h k are the coordinates of the vertex. The h represents the horizontal shift and k represents the vertical shift. Opening exercise graph the equations y x 2 y x 2 2 and y x 2 2 on the interval 3 x 3.

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The vertex form of a quadratic equation is given by y a x h 2 k where h k is the vertex of the parabola.

Quadratic in vertex form math. Color red y f x a x h 2 k where color red h k is the color blue vertex let us consider a. Without graphing state the vertex for each of the following quadratic equations. Quadratic equations in vertex form have a general form. Y a x h 2 k is the vertex form equation.

Now expand the square and simplify. Multiply by the coefficient of a and get y ax 2 2ahx ah 2 k. You should get y a x 2 2hx h 2 k.

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