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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