# 5.2 - 3 2 2--= x x y Graph: Step 1: Find and graph the axis...

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1 5.2 Notes Properties of Parabolas Warm-up Find the y-intercept of the graph of each function. 1) y = 3x + 3 2) 4x – 3y = 12 Find the vertex of the graph of each function. 3) y = | -2x | 4) y = | 3x +7 | Graphing Parabolas Objectives: - graph quadratic functions - find max and min values of quadratic functions Standard Form (quadratic): When b = 0, the function simplifies to. .. c bx ax y + + = 2 Graphing in the Form Graph: Step 1: Graph the vertex, which is the y-int . *To find the y-int, plug 0 in for _____. c ax y + = 2 2 2 1 2 + - = x y Graphing Parabolas c ax y + = 2 y 4 3 2 1 x Step 2: Make a table of values to find some points on one side of the axis of symmetry (x = 0). Graph the points 2 2 1 2 + - = x y Graphing Parabolas c ax y + = 2 Step 4: Graph corresponding points on the other side of the axis of symmetry Step 5: Sketch the curve. You try Graph: 4 2 2 - = x y

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2 Graphing Parabolas in Standard Form
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Unformatted text preview: 3 2 2--= x x y Graph: Step 1: Find and graph the axis of symmetry Step 2: Find and graph the vertex. a b x 2-= Graphing Parabolas in Standard Form Step 3: Find and graph the y-intercepts and its reflection. y int is (0,c) y-int ( , ) reflection ( , ) Step 4: Evaluate the function for another value of x, such as x = 3.-graph the point and its reflection 3 2 2--= x x y You try Graph: 2 4 2 + +-= x x y Finding Max or Min Values Real Quick: 1) determine if the parabola opens up or down a>0 _______________ a<0 ________________ 2) find the coordinates of the vertex 3) the max or min is the y coordinate of the vertex. a b x 2-= 1 8 2 2-+ = x x y Homework: p. 244 # 1-6, 22-24...
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## This note was uploaded on 05/13/2011 for the course MTH 98 taught by Professor Johnson during the Fall '09 term at Grand Valley State University.

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5.2 - 3 2 2--= x x y Graph: Step 1: Find and graph the axis...

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