Section 7.5 – Graphing Quadratic Functions Using Properties.

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Presentation transcript:

Section 7.5 – Graphing Quadratic Functions Using Properties

A function that can be written in the form, where is a quadratic function. Quadratic Function The graph of a quadratic function is a parabola. vertex y-intercept x-intercept opens up Concave Up

Quadratic Function - Concavity

If a > 0, concave up If a < 0, concave down Matching

Quadratic Function – y-intercept

y-intercept: (0, c) Matching

Quadratic Function – x-intercepts Can’t be factored using real numbers

The x-intercepts of are the REAL solutions to the quadratic equation. Quadratic Function – x-intercepts Two Real Solutions One Real Solution No Real Solutions

Quadratic Function – x-intercepts

The vertex of the parabola is an ordered pair, (h, k). It can be found by finding the x value first: Once you have found the x value, substitute that value in to the function and simplify to find the y value. Finding the Vertex – Standard Form

Finding the Vertex - Standard Form Vertex:

Finding the Vertex - Standard Form Vertex: