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A2A - Sec. 6.5 Hwk
By Patricia (Teacher) Heathcote
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Algebra 2A - Homework - Graphs of basic rational functions and transformations
Question 1
1.
Graph the rational equation below. Remember to draw the asymptotes as dashed lines first. (Click on the picture of the graph.)
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Question 2
2.
Graph the rational equation below. Remember to draw the asymptotes as dashed lines first.
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Question 3
3.
Graph the rational equation below. Remember to draw the asymptotes as dashed lines first.
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View drawing
Question 4
4.
Question 5
5.
Question 6
6.
Question 7
7.
Question 8
8.
Question 9
9.
Question 10
10.
Question 11
11.
Question 12
12.
Question 13
13.
Question 14
14.
Describe the long run behavior of the graph of
Question 15
15.
Describe what happens as x approaches 0 in the rational function below. Why is this true? What is y equal to when x=0?
Describe how the graph of the function below is translated from the parent funtion, f(x)=1/x.
Translated up 3, right 5
Translated down 5, left 3
Translated down 5, right 3
It is impossible to tell without seeing the graph
Describe how the graph of the function below is tranformed from the parent funtion, f(x)=1/x.
Reflected over x-axis, left 3
Reflected over x-axis, right 3
Reflected over x-axis, up 3
Reflected over x-axis, down 3
Describe how the graph of the function below is translated from the parent funtion, f(x)=1/x.
Stretched by factor of 3, right 1, up 2
Stretched by factor of 3, left 2, up 1
Stretched by factor of 3, left 1, up 2
Stretched by factor of 3, left 1, down 2
Write the equations of the asymptotes for the following rational function:
x= -2 & y= -3
x=2 & y=3
x= -3 & y= -2
x= 3 & y=2
Write the equations of the asymptotes for the following rational function:
x=3 & y=2
x=0 & y=3
x=3 & y=0
x=2 & y=3
Write the equations of the asymptotes for the following rational function:
x=4 & y=-7
x= -1 & y=7
x= -4 & y =7
x= -4 & y = -7
Which equation matches the rational equation shown in the graph?
Which equation matches the rational equation shown in the graph?
In the equation shown, which term translates the graph left or right?
h
k
a
x
In the equation shown, which term moves the graph up or down?
h
k
a
x