Graph the following equations using a t-table.
1. Graph y = lxl - 2.
2. Graph y = lx - 2l
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In this lesson we will graph by translating the graph of y = IxI. A translation is a shift of a graph horizontally, vertically, or both. The result is a graph of the same shape and size, but in a different position.
Ex 1) Below are the graphs of y = IxI and y = IxI + 2. Describe how the graphs are the same and how they are different. y = IxI
y = IxI + 2
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You Try) Describe each graph below is like y = IxI and how it is different. Then write an equation for each translation of y = IxI. 4
Ex 2) Graph each function by translating y = IxI
a. y = IxI + 4
b. y = Ix + 4I
c. y = Ix ­ 3I ­ 1
d) y = Ix + 2I + 5
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Ex 3) Write an equation for each translation.
a. y = IxI, 8 units left
b. y = IxI, 6 units right
c. y = IxI, 5 units up
d) y = IxI, 7 units left and 3 units down
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Homework:
pg. 327 #s 2­40 even
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Homework Answers: p. 327 #s 2-40 even
2) shifted down 3
8)
4)
6)
10) y = lxl + 9
12) y = lxl + 0.25
14) y = lxl + 5.90
16)
18)
22) y = lx + 9l
24) y = lx - 5/2l
20)
26) y = lx + 0.5l
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28)
30)
32) y = -lxl + 2
34) y = -lxl - 3/2
38)
40)
36) B
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