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Laabri

Quiz Review: Quadratic Equations & Parabolas

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1.

What are the coordinates of the maximum point on the parabola whose equation is

y = -2x2 - 16x + 40 ?

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2.

Which is an equation for the parabola graphed in the accompanying diagram?

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3.

Which equation represents an equation for the axis of symmetry of the graph of

y = 3x2 + 12x - 2 ?

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4.

Compared to the parent quadratic function y = x2 , which is true about

y = -8x2 + 4x + 2 ?

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5.

What is the turning point of the graph of the function

y = 3x2 + 6x - 1 ?

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6.

Which graph represents y = -x2 + 6x - 8 ?

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7.

Which is the equation that has the axis of symmetry of x = 1 ,

and a turning point of (1, -1) ?

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8.

Under which domain is the quadratic function below decreasing?

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9.

The height, y, in meters, a ball will reach when thrown in the air is given by the equation

y = -6x2 + 30x + 6, where x represents the time in seconds that the ball is in the air. Determine the highest point, in meters, the ball will reach.

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10.

Compare the graphs of y = 5x2 + 3 and y = 5x2 - 4.

Which graph is wider?

Justify your answer.

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11.

How many roots does y = 5x2 - 4 have?

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12.

What is the equation for the axis of

symmetry of y = -2x2 - 4x + 6 ?

Justify your answer in the space provided.

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13.

What are the coordinate of the vertex

of y = -2x2 - 4x + 6 ?

Justify your answer in the space provided.

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14.

Curtis Granderson throws a baseball from the outfield to home plate. The ball's height above the ground is modeled by y = -16x2 + 64x + 6, where y is the height in feet and x is the time in seconds. The ball is initially thrown at a height of 6 feet.

Graph the parabola of y = -16x2 + 64x + 6 from 0 less than or equal to x and x is less than or equal to 4 .

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15.

Curtis Granderson throws a baseball from the outfield to home plate. The ball's height above the ground is modeled by y = -16x2 + 64x + 6, where y is the height in feet and x is the time in seconds. The ball is initially thrown at a height of 6 feet.

What is the height of the ball at its highest point?

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16.

Curtis Granderson throws a baseball from the outfield to home plate. The ball's height above the ground is modeled by y = -16x2 + 64x + 6, where y is the height in feet and x is the time in seconds. The ball is initially thrown at a height of 6 feet.

At what time is the ball at its highest point?

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17.

Please upload pictures of your work if you didn't use the space provided.

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18.

Please upload pictures of your work if you didn't use the space provided.