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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Which graph represents the quadratic function  ?
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3.
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Identify the characteristics of this graph. A | vertex: (–2, –5)
axis of symmetry: 
y-intercept:
10.5
x-intercepts: –3 and –7
opens downward | C | vertex: (–2, –5)
axis
of symmetry: 
y-intercept: 10.5
x-intercepts:
–3 and –7
opens upward | B | vertex: (–5, –2)
axis of
symmetry: 
y-intercept: 10.5
x-intercepts: –3 and –7
opens
upward | D | vertex: (–5,
–2)
axis of symmetry: 
y-intercept: 10.5
x-intercepts: 3 and
7
opens downward |
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4.
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What is  written in standard form?
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5.
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What is the function  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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What is the equation of the quadratic function  in vertex
form?
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8.
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Which quadratic function in standard form represents  ?
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9.
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The vertex of the quadratic function  is
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10.
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What is the vertex form of  ?
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Short Answer
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1.
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State the x-intercept(s) of the function y =
49x2 + 42x + 9.
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2.
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Sketch the graph of the quadratic relation  . Label the
x-intercepts and the vertex. 
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Problem
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1.
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A bridge forms a parabolic arch. The span of the arch is 60 m and its centre is
10 m above either end.
a) What equation models this situation?
b) What is the
height of the arch 15 m from either end of the bridge?
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2.
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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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3.
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Supermarket cashiers try to memorize current sale prices while they work. A
survey shows that, on average, the percent, P, of prices memorized after t hours is
modelled by the relation  . a) What is the greatest percent of prices
memorized? b) How long does it take to memorize this greatest percent?
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