5.1-5.2 Graphing Quadratic Functions. The graph of any Quadratic Function is a Parabola To graph a quadratic Function always find the following: y-intercept.

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Presentation transcript:

Graphing Quadratic Functions

The graph of any Quadratic Function is a Parabola To graph a quadratic Function always find the following: y-intercept (c - write as an ordered pair) equation of the axis of symmetry x = vertex- x and y values (use x value from AOS and plug in for y) roots (factor) These are the solutions to the quadratic function minimum or maximum domain and range If a is positive = opens up (minimum) If a is negative = opens down (maximum)

f(x) = x 2 + 2x - 3 Ex: 1 Graph by using the vertex, AOS and a table

Graph Find the y-int, AOS, vertex, roots, minimum/maximum, and domain and range f(x) = -x 2 + 7x – 14

Graph Find the y-int, AOS, vertex, roots, minimum/maximum, and domain and range f(x) = 4x 2 + 2x - 3

Graph Find the y-int, AOS, vertex, roots, minimum/maximum, and domain and range x 2 + 4x + 6 = 0

2x 2 – 7x + 5 = 0 Graph Find the y-int, AOS, vertex, roots, minimum/maximum, and domain and range