# Lesson36 - Lesson 36 MA 152, Section 3.1 I Quadratic...

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1 Lesson 36 MA 152, Section 3.1 I Quadratic Functions A quadratic function of the form 2 ( ) y f x ax bx c = = + + , where a, b, and c are real numbers (general form) has the shape of a parabola when graphed. The parabola will open upward if the value of a is positive and downward is it is negative. The vertex is the point or ordered pair where the parabola 'turns'. Ex 1: Graph the parabola 2 3 2 1 2 + - - = x x y . Find its vertex and direction of opening. We will use a table of values and plot the points. x y 0 3/2 1 0 -1 2 2 -5/2 -2 3/2 -3 0 This method is tedious. It will be easier to know how to find the vertex. We could also find intercepts and use symmetry. Notice, the graph is symmetric about a vertical line through the vertex. The vertex will be an ordered pair ( h, k ). The axis of symmetry is a vertical line with through the vertex. Points have symmetry (equal distance) left and right about this vertical line. The equation will be x h = .

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2 Look at the graph of the example on page 1 and answer the following questions. (1)
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## This note was uploaded on 04/23/2011 for the course MA 152 taught by Professor Owendavis during the Spring '08 term at Purdue University-West Lafayette.

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Lesson36 - Lesson 36 MA 152, Section 3.1 I Quadratic...

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