Exam 5: Quadratic Functions and Models

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A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by   . When does the ball hit the ground? . When does the ball hit the ground?

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Is a quadratic function an appropriate model for the following data? Is a quadratic function an appropriate model for the following data?

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Given the function Given the function   , find the average rate of change between   and   . , find the average rate of change between Given the function   , find the average rate of change between   and   . and Given the function   , find the average rate of change between   and   . .

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The graph of g is given below and represents a translation of the graph of The graph of g is given below and represents a translation of the graph of   . Which one of the functions best describes the graph of g .  . Which one of the functions best describes the graph of g . The graph of g is given below and represents a translation of the graph of   . Which one of the functions best describes the graph of g .

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Which one of the following is the graph for the function Which one of the following is the graph for the function   ? ?

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Using the graph below, find the y -value at which the maximum value of the function occurs. Using the graph below, find the y -value at which the maximum value of the function occurs.

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Solve the equation Solve the equation   by factoring. by factoring.

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A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by   . What is the average rate of change of the height of the ball between   seconds and   seconds? . What is the average rate of change of the height of the ball between A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by   . What is the average rate of change of the height of the ball between   seconds and   seconds? seconds and A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by   . What is the average rate of change of the height of the ball between   seconds and   seconds? seconds?

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The graph of g is given below and represents a transformation of the graph of The graph of g is given below and represents a transformation of the graph of   . Which one of the functions best describes the graph of g .  . Which one of the functions best describes the graph of g . The graph of g is given below and represents a transformation of the graph of   . Which one of the functions best describes the graph of g .

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In the equation In the equation   , the value of a is   , the value of b is 7 and the value of c is 4. , the value of a is In the equation   , the value of a is   , the value of b is 7 and the value of c is 4. , the value of b is 7 and the value of c is 4.

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Let Let   and let   . If   , then the number of x -intercepts for the graph of f is 0. and let Let   and let   . If   , then the number of x -intercepts for the graph of f is 0. . If Let   and let   . If   , then the number of x -intercepts for the graph of f is 0. , then the number of x -intercepts for the graph of f is 0.

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Which one of the following graphs illustrate the function Which one of the following graphs illustrate the function   ? ?

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Which one of the following graphs illustrate the function Which one of the following graphs illustrate the function   ? ?

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Which one of the following functions translates the graph of Which one of the following functions translates the graph of   to a new graph g with a reflection about the x -axis, a vertical stretch by a factor of 6, and a horizontal shift left 5 units. to a new graph g with a reflection about the x -axis, a vertical stretch by a factor of 6, and a horizontal shift left 5 units.

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Find the discriminant of Find the discriminant of   . .

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Which one of the following functions translates the graph of Which one of the following functions translates the graph of   to a new graph g with a vertical shift down 3 units and a horizontal shift left 8 units. to a new graph g with a vertical shift down 3 units and a horizontal shift left 8 units.

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The minimum value of the quadratic function The minimum value of the quadratic function   occurs when   . occurs when The minimum value of the quadratic function   occurs when   . .

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Find the vertex of Find the vertex of   . .

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If the y -values of a set of data increase by different amounts when the x -values increase by the value of 6, then a linear function will best model the data.

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Find the discriminant of Find the discriminant of   . .

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