Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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What is the axis of symmetry of  ? A | x = 2 | C | x = –6 | B | x = –3 | D | x = 6 |
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2.
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What is the quadratic function in vertex form for the parabola shown
below?
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3.
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Which graph represents the quadratic function  ?
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4.
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What are the domain and range of  ?
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5.
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What is  written in standard form?
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6.
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What is the function  written in standard form?
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7.
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If the points  and  are on the graph of the quadratic
function  , what are the values of b and c?
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8.
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What is the equation of the quadratic function  in vertex
form?
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9.
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What is the equation of the quadratic function  in vertex
form?
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10.
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The vertex of the quadratic function  is
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11.
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What are the x-intercepts of the quadratic function graphed
here?  A | 2 and –4 | C | 11.2 | B | –2 and 4 | D | 12.6 |
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12.
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What are the x-intercepts of the quadratic function graphed here?  A | 4.6 | C | –2.2 | B | there are
none | D | 9.0 |
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13.
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What are the roots of the quadratic function  ? A | –0.125 | C | –4 and –3 | B | 4 and
3 | D | 6 |
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14.
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Factor  completely.
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15.
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Determine the roots of the quadratic equation  .
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16.
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Solve  .
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17.
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A rectangle has dimensions  and  , where x is in
centimetres. If the area of the rectangle is 72 cm 2, what is the value of x, to the
nearest tenth of a centimetre? 
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18.
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The vertex form of  is
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19.
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When Alex rides his dirt bike off a ramp, his path can be modelled by  ,
where d is the horizontal distance from the ramp and h is the height, both in metres.
How far away from the ramp does he land, to the nearest tenth of a metre?
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20.
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The number of real roots for the equation  is A | 2 | C | 1 | B | 0 | D | impossible to tell |
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Short Answer
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1.
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Sketch the graph of the quadratic relation  . Label the
x-intercepts and the vertex. 
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2.
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Graph the quadratic function  . Use the graph to determine the zeros
of the function if they exist.
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Problem
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1.
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A ball is thrown straight up from the edge of a cliff and falls to the ground
below. The height, h, in metres, of the ball above the ground t seconds after being
thrown is approximately modelled by the relation  . a) Determine the maximum
height of the ball above the ground by writing the equation in vertex form. b) How long
does it take for the ball to reach the maximum height? c) After how many seconds does the
ball hit the ground? d) How high is the top of the cliff above the ground? 
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2.
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The height, h, in metres, of an infield fly ball t seconds after
being hit is approximately modelled by the quadratic relation  . How long is the ball in
the air?
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