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In this problem, we will explore the effect that changing the coefficient of x has on the graph of the parabola y = 5x2 +

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In this problem, we will explore the effect that changing the coefficient of x has on the graph of the parabola y = 5x2 + bx - 2. a) First consider all the positive values of b. Use the computer to graph y = 5x2, y = 5x2 + 3x - 2, and y = 5x2 + 7x - 2 on the same set of axes. How does changing the value of b affect the vertex of y = 5x2 + bx - 2? b) Now graph y = 5x2 + bx - 2 for b = -1,-3, and - 5. When the coefficient b is negative, how does this value affect the parabola? c) Summarize the effect that the value of b has on the position of the vertex of the parabola. Make sure that your answer is valid for all values of b whether it is positive, negative, or zero. d) Identify the domain for each graph in part b for when b = -1, -3, and - 5

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