graphing radical functions algebra 2 lesson 7-8 7-8 algebra 2 lesson 7-8 (page 408)
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Graphing Radical FunctionsGraphing Radical FunctionsALGEBRA 2 LESSON 7-8ALGEBRA 2 LESSON 7-8
7-8
Algebra 2Lesson 7-8(Page 408)
The graph of y = x + 5 is the graph of
y = x shifted up 5 units.
Graphing Radical FunctionsGraphing Radical FunctionsALGEBRA 2 LESSON 7-8ALGEBRA 2 LESSON 7-8
The domains of both functions are the set of nonnegative numbers, but their ranges differ.
Graph y = x + 5 and y = x – 7.
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The graph y = x – 7 is the graph of y = x shifted down 7 units.
The graph of y = x + 7 is the graph of
y = x shifted left 7 units.
The graph y = x – 5 is the graph of y = x
shifted right 5 units.
Graphing Radical FunctionsGraphing Radical FunctionsALGEBRA 2 LESSON 7-8ALGEBRA 2 LESSON 7-8
Graph y = x + 7 and y = x – 5.
The ranges of both functions are the set of nonnegative numbers, but their domains differ.
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Graphing Radical FunctionsGraphing Radical FunctionsALGEBRA 2 LESSON 7-8ALGEBRA 2 LESSON 7-8
Graph y = – x, y = –2 x, and y = –1.5 x.
13Each y-value of y = –2 x is times the
corresponding y-value of y = –1.5 x.
The domains of the three functions are the set of nonnegative numbers, and the ranges are the set of negative numbers.
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y = 3 x – (–2) + (–1),
so translate the graph of y = 3 x left 2 units
and down 1 unit.
Graphing Radical FunctionsGraphing Radical FunctionsALGEBRA 2 LESSON 7-8ALGEBRA 2 LESSON 7-8
Graph y = 3 x + 2 – 1.
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Graph the model with a graphing calculator.
Graphing Radical FunctionsGraphing Radical FunctionsALGEBRA 2 LESSON 7-8ALGEBRA 2 LESSON 7-8
The function h(x) = 0.5 x models the height h in meters of
one group of male giraffes with a body mass of x kilograms.
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Use the graph to estimate the body mass of a young male giraffe with a height of 3 meters.
The giraffe has a mass of about 216 kg.
3Graph y = 0.5 x and y = 3. Adjust the window so the graphs intersect.
Use the Intersect feature to find that x 216 when y = 3.
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3
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The graph of y = 2 x + 2 – 2 is the graph of
y = 2 x translated 2 units left and 2 units down.
Graphing Radical FunctionsGraphing Radical FunctionsALGEBRA 2 LESSON 7-8ALGEBRA 2 LESSON 7-8
Graph y = 2 x + 2 – 2.
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Graphing Radical FunctionsGraphing Radical FunctionsALGEBRA 2 LESSON 7-8ALGEBRA 2 LESSON 7-8
Rewrite y = 9x + 18 to make it easy to graph using a
translation. Describe the graph.
y = 9x + 18
= 3 x + 2
= 3 x – (–2)
The graph of y = 9x + 18 is the graph of y = 3 x translated 2 units left.
= 9(x + 2)
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