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Key Quiz 6.3
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1
Which of the following graphs is a downward-opening parabola with a vertex at (2, 3)?
A)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/FOM10_KeyQuiz6_3_question1a.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"> (37.0K)</a>
B)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/FOM10_KeyQuiz6_3_question1b.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"> (37.0K)</a>
C)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/FOM10_KeyQuiz6_3_question1c.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"> (37.0K)</a>
D)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/FOM10_KeyQuiz6_3_question1d.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"> (37.0K)</a>
2
What is the axis of symmetry of the parabola shown?
<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/FOM10_KeyQuiz6_3_question2.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"> (37.0K)</a>
A)x = 4
B)y = 4
C)x = –4
D)x = 3 and x = 5
3
The x-intercept(s) of the parabola shown are:
<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/FOM10_KeyQuiz6_3_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"> (37.0K)</a>
A)x = 6 and x = –2
B)x = -2
C)x = -6 and x = 2
D)x = –6
4
Which of the graphs shown is a parabola with all of the following characteristics:
• minimum: (3, -1)
x-intercepts: 2 and 4
y-intercept: 8
A)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/FOM10_KeyQuiz6_3_question4a.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"> (37.0K)</a>
B)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/FOM10_KeyQuiz6_3_question4b.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"> (37.0K)</a>
C)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/FOM10_KeyQuiz6_3_question4c.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"> (37.0K)</a>
D)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070977682/448198/FOM10_KeyQuiz6_3_question4d.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"> (37.0K)</a>
5
Is it possible for downward-opening parabolas to have only one x-intercept? Why or why not?
A)No, it is not possible; all parabolas always have two different x-intercepts.
B)It is possible, if the vertex is on the x-axis.
C)It is possible, if the vertex is on the y-axis.
D)It is impossible because parabolas must be symmetric and if they cross the x-axis going up they must cross it again going down, resulting in two x-intercepts.







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