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 = –5 | C | x = –7 | B | x = 7 | D | x = 3 |
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2.
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The vertex of a parabola is located at  . If the parabola has a
y-intercept of 124, which quadratic function represents the parabola?
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3.
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Identify the characteristics of this graph. A | vertex: (–6, 2)
axis of symmetry: 
y-intercept:
–16
x-intercepts: –4 and –8
opens downward | C | vertex: (2,
–6)
axis of symmetry: 
y-intercept: –16
x-intercepts:
–4 and –8
opens upward | B | vertex: (–6, 2)
axis of symmetry: 
y-intercept: –16
x-intercepts: 4 and 8
opens
upward | D | vertex: (2,
–6)
axis of symmetry: 
y-intercept: –16
x-intercepts:
–4 and –8
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 are the coordinates of the vertex of the quadratic function  ? A | (4, 5) | C | (5, –1) | B | (4, 7) | D | (–1, 5) |
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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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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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Suppose a person on the surface of an asteroid kicks a ball. The table shows the
height, h, in metres, of the ball over time, t, in seconds, after it is kicked into the
air. a) Graph the data. b) Write the quadratic relation in vertex form that
models this situation. c) What is the equation of the relation in standard form? t | h | | 0 |
0 | | 3 |
16.2 | |
6 | 28.8 | | 9 |
37.8 | |
12 | 43.2 | | 15 |
45 | | 18 |
43.2 | |
21 | 37.8 | | 24 |
28.8 | |
27 | 16.2 | | 30 |
0 | | |
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Problem
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1.
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A store can increase its profit by increasing the price of the sweaters it
sells. The relation between the income, R, and the dollar increase in the price per sweater,
d, can be modelled by the equation  . a) What is the maximum
possible income? b) What would the income be if the price per sweater were increased by
$10?
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2.
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Sketch the graph of the function y = x2 + x
–  . Identify the x-intercepts and the y-intercept.
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3.
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On a forward somersault dive, Nina’s height, h, in metres, above
the water is approximately modelled by the relation  , where t is the time in seconds
after she leaves the board. 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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