Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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The vertex of a parabola is located at  . If the parabola has a
y-intercept of –96, which quadratic function represents the parabola?
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2.
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Identify the characteristics of this graph. A | vertex: (–10, 10)
axis of symmetry: 
y-intercept:
0
x-intercepts: 20 and 0
opens upward | C | vertex: (10, –10)
axis of
symmetry: 
y-intercept: 0
x-intercepts: –20 and 0
opens
downward | B | vertex: (10, –10)
axis of symmetry: 
y-intercept:
0
x-intercepts: 20 and 0
opens upward | D | vertex: (–10, 10)
axis of symmetry:
y-intercept: 0
x-intercepts: 20 and 0
opens
downward |
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3.
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What is  written in standard form?
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4.
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What are the coordinates of the vertex of the quadratic function  ? A | (–4, 4) | C | (2, 1) | B | (1, 2) | D | (4, 2) |
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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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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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State whether the function  has a maximum or minimum value and
identify the coordinates of the vertex. A | minimum at  | C | maximum at  | B | minimum at  | D | maximum at  |
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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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Convert  to vertex form. Round coefficients to two decimal
places, if necessary.
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Short Answer
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1.
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Sketch the graph of the function  . Label the vertex.
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2.
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The graph represents the revenue a company generates when it sells x
units of a product. How many units should the company sell to generate the highest revenue, and what
is the highest revenue? 
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Problem
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1.
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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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2.
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A projectile is shot vertically into the air. Its height, h, in metres,
after t seconds is approximately modelled by the relation  . a) What is the
maximum height of the projectile? b) When does the projectile reach its maximum
height? c) For how many seconds is the projectile in the air?
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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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