Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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What are the x-intercepts of the quadratic function graphed here?  A | 0.8 | C | there are none | B | –7.0 | D | –6.2 |
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2.
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What is the x-intercept of the quadratic function graphed
here? 
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3.
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What are the roots of the quadratic function  ? A | –8 | C | 8 | B | –8 and 0 | D | 550.4 and 8 |
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4.
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Factor  completely.
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5.
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Which is the vertex form of  ? Round coefficients to the nearest
hundredth if necessary.
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6.
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Solve  . A | 12 +  and 12 -  | C |  | B |  | D | –12 +  and –12 -  |
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7.
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The roots, to the nearest hundredth, of  are A | 0.08 and 9.92 | C | 0.30 and 39.70 | B | –0.15 and –19.85 | D | 0.15 and 19.85 |
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8.
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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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9.
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The x-intercepts, to the nearest hundredth, of  are A | 1.12 and –0.60 | C | 0.56 and –0.30 | B | 0.28 and –0.15 | D | 0.43 and
–0.43 |
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10.
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The table shows the coordinates of the curve of a parabolic arch at the entrance
to a park, where x is the horizontal distance from one side of the arch and h is the
height of the arch above ground, both in metres. x | h | 0.25 | 3.81 | 0.50 | 4.25 | 0.75 | 4.31 | 1.00 | 4.00 | 1.25 | 3.31 | 1.50 | 2.25 | 1.75 | 0.81 | | |
The quadratic equation that models the data
is
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Short Answer
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1.
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For what values of k does the equation  have a) one real
root? b) two distinct roots? c) no real roots?
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2.
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Find the x-intercepts of the quadratic function y =
3x2 – 10x + 6. Express your answers as exact values.
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3.
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Water spraying from a large fountain follows a path modelled by the function
 for h > 0, where h is the height of the water above the fountain jet and
d is the horizontal distance of the water from the fountain jet, both in metres. How far does
the water travel horizontally before splashing back into the fountain?
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Problem
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1.
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A ball is thrown straight up from a bridge over a river and falls into the
water. The height, h, in metres, of the ball above the water t seconds after being
thrown is approximately modelled by the relation  . a) What is the maximum height
of the ball above the water? b) How long does it take for the ball to reach the maximum
height? c) After how many seconds does the ball hit the water? d) How high is the
bridge above the river?
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2.
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Three pieces of garden edging measure 20 cm, 41 cm, and 44 cm. If the same
length is cut off each piece, the remaining lengths can be formed into a right triangle. What length
is cut off?
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3.
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For a science experiment, a projectile is launched. Its path is given by  ,
where h is the height of the projectile above the ground and d is the horizontal
distance of the projectile from the launch pad, both in metres. How far away from the launch pad was
the projectile when it landed, to the nearest tenth of a metre?
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