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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

Graphing Quadratic Functions. If Graphing Quadratic Functions ,

the parabola opens upward; if

Graphing Quadratic Functions,

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

1. Either completing the square to rewrite the function in the form

Graphing Quadratic Functions

(the vertex is (h, k)) or finding the line of symmetry using the equation

Graphing Quadratic Functions,

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

Graphing Quadratic Functions,

find f(0).

Example : Graphing Quadratic Functions

Graphing Quadratic Functions
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