Introduction to Quadratic Functions

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Presentation transcript:

Introduction to Quadratic Functions September 23rd, 2016

What shape does it make? Why? Ex. 1: Graph the quadratic function by plotting points from the following table of values. x f(x) -2 -1 1 2 What shape does it make? Why? Does this graph have a minimum or a maximum value? What is it? What is the y-intercept? What is the x-intercept?

Vocabulary Quadratic Function: A function that can be written in the form . Parabola: The shape of the graph of a quadratic function. Extrema: Minimum or maximum values of a function. Minimum: The smallest y-value of a function. Maximum: The largest y-value of a function. x-intercept: A point where a function crosses the x-axis, found by substituting in y=0. y-intercept: A point where a function crosses the y-axis, found by substituting in x=0.

Ex. 2: Graph the quadratic function by plotting points from a table of values. If possible to deduce from your work, determine the minimum/maximum value (and specify which), and the x-and y-intercepts.

Ex. 3: Graph the quadratic function by plotting points from a table of values. If possible to deduce from your work, determine the minimum/maximum value (and specify which), and the x-and y-intercepts.