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## Math - Graphing Quadratic Functions

The graph of a quadratic function is a parabola. The standard form of a quadratic function is written as . If ,

the parabola opens upward; if ,

it opens downward. To graph the function, first find the vertex by:

1. Either completing the square to rewrite the function in the form (the vertex is (h, k)) or finding the line of symmetry using the equation ,

which calculates the x-coordinate of the vertex, and then finding the y value of the vertex by substituting the value of x into the original equation.

2. Then find the x- and y-intercepts of the graph. To find the x-intercepts, solve the quadratic equation,

To find the y-intercept of ,

find f(0).

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