Math 160 Notes Packet #6 Quadratic Functions - Prof. Beydler Page 5
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6Notes Packet #6
Math 160
Page 5 of 6
Homework for Packet #6
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1. Let �� ( �� ) = 4��
− 8�� + 3.
a) Express �� in standard form.
b) Find the vertex of ��.
c) Sketch the graph of ��. Be sure to plot the vertex and ��-intercept.
d) Find the maximum or minimum value of ��.
e) Find the range of ��.
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2. Let �� ( �� ) = 2��
− 6��.
a) Express �� in standard form.
b) Find the vertex of ��.
c) Sketch the graph of ��. Be sure to plot the vertex and ��-intercept.
d) Find the maximum or minimum value of ��.
e) Find the range of ��.
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3. Let �� ( �� ) = −
2
��
+ 2�� + 3.
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a) Express �� in standard form.
b) Find the vertex of ��.
c) Sketch the graph of ��. Be sure to plot the vertex and ��-intercept.
d) Find the maximum or minimum value of ��.
e) Find the range of ��.
2
4. Let �� ( �� ) = −2��
+ 4�� + 5.
a) Express �� in standard form.
b) Find the vertex of ��.
c) Sketch the graph of ��. Be sure to plot the vertex and ��-intercept.
d) Find the maximum or minimum value of ��.
e) Find the range of ��.
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5. Let �� ( �� ) = 3��
+ 9�� − 2.
a) Find the vertex of ��.
b) Find the maximum or minimum value of ��.
c) Find the range of ��.
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6. Let �� ( �� ) = −7��
− 2��.
a) Find the vertex of ��.
b) Find the maximum or minimum value of ��.
c) Find the range of ��.
7. You have 300 ft of fencing, and would like to fence off a rectangular plot of land next to a straight
river. Assuming you don’t need to fence off the side next to the river, find the dimensions that
would maximize the area of your plot of land. What would the maximum area be?
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