Exam 8: Quadratics and the Mathematics of Motion

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Use the discriminant to determine how many real roots the function Use the discriminant to determine how many real roots the function   has. has.

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Find any solutions to the equation Find any solutions to the equation   Write your answer as r<sub>1</sub>, r<sub>2</sub>, with r<sub>1</sub><r<sub>2</sub>. For complex answers enter   . Write your answer as r1, r2, with r12. For complex answers enter Find any solutions to the equation   Write your answer as r<sub>1</sub>, r<sub>2</sub>, with r<sub>1</sub><r<sub>2</sub>. For complex answers enter   . .

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Transform the function Transform the function   into a new function   by shifting   horizontally 11 units to the right and then shifting the result up 4 units. Find the equation of  into a new function Transform the function   into a new function   by shifting   horizontally 11 units to the right and then shifting the result up 4 units. Find the equation of  by shifting Transform the function   into a new function   by shifting   horizontally 11 units to the right and then shifting the result up 4 units. Find the equation of  horizontally 11 units to the right and then shifting the result up 4 units. Find the equation of Transform the function   into a new function   by shifting   horizontally 11 units to the right and then shifting the result up 4 units. Find the equation of

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For the function For the function   , state whether the vertex represents a minimum or a maximum of the function. , state whether the vertex represents a minimum or a maximum of the function.

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Find any solutions to the equation Find any solutions to the equation   Write your answer as r<sub>1</sub>, r<sub>2</sub>, with r<sub>1</sub><r<sub>2</sub>. For complex answers enter   . Write your answer as r1, r2, with r12. For complex answers enter Find any solutions to the equation   Write your answer as r<sub>1</sub>, r<sub>2</sub>, with r<sub>1</sub><r<sub>2</sub>. For complex answers enter   . .

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A free falling body has an initial velocity of 20 ft/sec. Find the distance traveled in t = 2 seconds. Assume that g = 32 ft/sec2.

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Select the equation that best describes the graph. Select the equation that best describes the graph.

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