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 vertex of  ? A | (5, 4) | C | (–5, 4) | B | (–4, 5) | D | (7, –4) |
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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 information can be determined from the quadratic function  ? A | the vertex is at (–2, –9) and the graph opens upward | B | the vertex is at
(–9, –2) and the graph opens downward | C | the vertex is at (–2, –9) and the
graph opens downward | D | the vertex is at (–9, –2) and the
graph opens upward |
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6.
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What are the coordinates of the vertex of the quadratic function  ? A | (–6, –1) | C | (–1, –6) | B | (8, –2) | D | (8, –6) |
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7.
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What is the function  written in standard form?
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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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Convert  to vertex form. Round coefficients to two decimal
places, if necessary.
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10.
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What is the axis of symmetry for the quadratic function  ?
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Short Answer
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1.
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An architect is using the graph to model an arch-shaped window, where h
is the height of the window, in metres, and x is the horizontal position from the centre of
the arch. Write the function in standard form represented by the graph and state the domain and range
of the function. 
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2.
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State the x-intercept(s) of the function y =
49x2 + 42x + 9.
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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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On a forward somersault dive, Nina’s height, h, in metres, above
the water is approximately modelled by the function  , where t is the time, in seconds,
after she leaves the diving board. Graph the function and use the graph to complete the
following. a) Find Nina’s maximum height above the water. b) How long does
it take her to reach the maximum height? c) How long is it before she enters the
water? d) How high is the board above the water?
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3.
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The quadratic relations  and  model the height,
h, in metres, that a trampolinist can jump in t seconds. What can be said about the
corresponding graphs?
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