Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
What are the x-intercepts of the quadratic function graphed here?  A | 4.6 | C | –2.2 | B | there are
none | D | 9.0 |
|
|
|
2.
|
What are the roots of the quadratic function  ? A | –0.125 | C | –4 and –3 | B | 4 and
3 | D | 6 |
|
|
|
3.
|
What are the roots of the quadratic function  ? A | –8 and 0 | C | –8 | B | –390.4 and 8 | D | 8 |
|
|
|
4.
|
Factor  completely.
|
|
|
5.
|
Factor  completely.
|
|
|
6.
|
A rectangle has dimensions  and  , where x is in
centimetres. If the area of the rectangle is 72 cm 2, what is the value of x, to the
nearest tenth of a centimetre? 
|
|
|
7.
|
The vertex form of  is
|
|
|
8.
|
The roots, to the nearest hundredth, of  are A | –8.65 and 0.65 | C | –2.16 and 0.16 | B | 4.32 and –0.32 | D | –4.32 and
0.32 |
|
|
|
9.
|
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?
|
|
|
10.
|
The number of real roots for the equation  is A | 2 | C | 1 | B | 0 | D | impossible to tell |
|
Short Answer
|
|
|
1.
|
Find the x-intercepts of the quadratic function y =
3x2 – 10x + 6. Express your answers as exact values.
|
|
|
2.
|
Write the equation of this parabola. 
|
|
|
3.
|
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?
|
Problem
|
|
|
1.
|
A rectangle, 4 cm longer than it is wide, has a diagonal 20 cm long. What are
the dimensions of the rectangle? 
|
|
|
2.
|
The curve of a cable on a suspension bridge can be approximately modelled by the
relation  . The points where the cable attaches to the supporting towers are where h = 0. How
far apart are the supporting towers?
|
|
|
3.
|
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?
|