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| 1 | |
The height of a rocket launched from the surface of the Earth can be modeled by the relation h = -4.9t2 + 735t + 5, where t is time in seconds since launching and h is altitude in metres. When will the rocket reach maximum altitude? |
| | A) | 150 seconds |
| | B) | 125 seconds |
| | C) | 100 seconds |
| | D) | 75 seconds |
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| 2 | |
Find the maximum or minimum of y = -3/4x2 - x + 1/6. |
| | A) | (2/3, 1/2) |
| | B) | (-2/3, 1/2) |
| | C) | (2/3, -1/2) |
| | D) | (0, 1/6) |
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| 3 | |
In the standard viewing window shown
 <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070780846/506635/FFCM11_Ch4StudyQuiz_question3.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (7.0K)</a>]]>
the graph of y = x2 is shown as a dotted parabola and the graph of a relation of the form y = ax2 + k is shown as a solid parabola. Which of the following correctly categorize the values of a and k? |
| | A) | a = 8
k = 3 |
| | B) | a = 8
k = -3 |
| | C) | a = -8
k = 3 |
| | D) | a = 1/8
k = -3 |
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| 4 | |
In the standard viewing window shown
 <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070780846/506635/FFCM11_Ch4StudyQuiz_question4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (8.0K)</a>]]>
the graph of y = x2 is shown as a dotted parabola and the graph of a relation of the form y = a(x - h)2 is shown as a solid parabola. Which of the following correctly categorize the values of a and h? |
| | A) | a = -1/5
h = 3 |
| | B) | a = 1/5
h = -3 |
| | C) | a = -1/5
h = -3 |
| | D) | a = 1/5
h = 3 |
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| 5 | |
The underside of a bridge
 <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070780846/506635/FFCM11_Ch4StudyQuiz_question5.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (39.0K)</a>]]>
can be modelled by a relation of the form y = ax2 + k.
This relation could be: |
| | A) | y = -1/16x2 + 2 |
| | B) | y = 1/16x2 - 2 |
| | C) | y = -1/16x2 - 2 |
| | D) | y = -16x2 - 2 |
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| 6 | |
Describe the transformations that would be applied to the graph of y = x2 to obtain the graph of y = 3(x - 2)2 + 4. |
| | A) | Compress by a factor of 3, translate 2 units to the right and 4 up. |
| | B) | Stretch by a factor of 3, translate 2 units to the right and 4 up. |
| | C) | Reflect in the x-axis, stretch by a factor of 3, translate 2 units to the right and 4 up. |
| | D) | Stretch by a factor of 3, translate 2 units to the left and 4 up. |
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| 7 | |
Which of the following could be the equation for the graph shown:
 <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070780846/506635/FFCM11_Ch4StudyQuiz_question7.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (82.0K)</a>]]> |
| | A) | y = 1/4x2 - 2x + 6 |
| | B) | y = -1/4x2 + 2x + 5 |
| | C) | y = 4x2 - 2x + 5 |
| | D) | y = 1/4x2 - 2x + 5 |
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| 8 | |
Which of the following is the graph of y = -2(x - 1)2 - 4? |
| | A) |  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070780846/506635/FFCM11_Ch4StudyQuiz_question8a.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (80.0K)</a>]]> |
| | B) |  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070780846/506635/FFCM11_Ch4StudyQuiz_question8b.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (80.0K)</a>]]> |
| | C) |  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070780846/506635/FFCM11_Ch4StudyQuiz_question8c.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (84.0K)</a>]]> |
| | D) |  <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070780846/506635/FFCM11_Ch4StudyQuiz_question8d.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (80.0K)</a>]]> |
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| 9 | |
Find the x-intercepts of y = -1/5(x + 5)2 |
| | A) | -10 |
| | B) | 0 |
| | C) | 10 |
| | D) | 0 and -10 |
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| 10 | |
A parabola passing through the origin is 5 cm wide and 25 cm deep.
 <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070780846/506635/FFCM11_Ch4StudyQuiz_question10.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (11.0K)</a>]]>
Its equation could be: |
| | A) | y = -4x2 + 25 |
| | B) | y = 4x2 - 25 |
| | C) | y = -3(x - 5/2)2 + 25 |
| | D) | y = -(x - 5)2 + 25 |
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