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Lesson 9-2 Graphing y = ax + bx + c Objective: To graph equations of the form f(x) = ax + bx + c and interpret these graphs. 2 2

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In Lesson 9-1 we investigated graphs of y = ax 2 and y = x 2

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y = a(0) + b(0) + c 2 y = ax + bx + c 2 y = 0 + 0 + c y = c Therefore c in a quadratic equation is the y-intercept of the parabola Name the y-intercept for each function.

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Example 1 a.Given the equation y = -x - 4, tell whether the parabola opens up or down. b.Identify the y-intercept without graphing it. c.Make a table of values and graph the function. d.Identify its axis of symmetry and vertex. 2

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Example 2 Consider the equation f(x) = 2x - 8x + 6 and use a table of values to answer the questions. Your table should include negative and positive values. Identify the vertex of the parabola by using your table of values if possible? What is the equation for the axis of symmetry of the parabola? Find the y-intercept without graphing. Graph the parabola. What are the x-coordinates of the two points where y = 16? 2

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Example 2 Consider the equation f(x) = 2x - 8x + 6 and use a table of values to answer the questions. Your table should include negative and positive values. Identify the vertex of the parabola by using your table of values if possible? What is the equation for the axis of symmetry of the parabola? Find the y-intercept without graphing. Graph the parabola. What are the x-coordinates of the two points where y = 16? 2

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Read Lesson 9-3 and fill in study guide. In Lesson 9-2 complete #5-9, 12-13, 15-18. Homework ~ Friday March 26

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