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Core Connections Algebra 2, 2013
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Core Connections Algebra 2, 2013 View details
2. Section 2.2
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Exercise 116 Page 94

Practice makes perfect
a To find g( 12), we have to substitute x= 12 into g(x)=x^2-5 and evaluate.
g(x)=x^2-5
Substitute

x= 1/2

g( 1/2)=( 1/2)^2-5
PowQuot

(a/b)^m=a^m/b^m

g(1/2)=1^2/2^2-5
CalcPow

Calculate power

g(1/2)=1/4-5
NumberToFrac

a = 4* a/4

g(1/2)=1/4-20/4
SubFrac

Subtract fractions

g(1/2)=-19/4
b Again to find g(h+1), we have to substitute x=h+1 into g(x)=x^2-5 and evaluate.
g(x)=x^2-5
Substitute

x= h+1

g( h+1)=( h+1)^2-5
ExpandPosPerfectSquare

(a+b)^2=a^2+2ab+b^2

g(h+1)=h^2+2h+1-5
SubTerm

Subtract term

g(h+1)=h^2+2h-4
Subchapter links expand_more
arrow_right 2.2.1 Transforming Other Parent Graphs p.85-90
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Transforming Other Parent Graphs 82 (Page 85)
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Transforming Other Parent Graphs 85 (Page 86)
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Transforming Other Parent Graphs 88 (Page 87)
Transforming Other Parent Graphs 89 (Page 87)
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Transforming Other Parent Graphs 93 (Page 88)
Transforming Other Parent Graphs 94 (Page 88)
Transforming Other Parent Graphs 95 (Page 89)
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Transforming Other Parent Graphs 98 (Page 90)
Transforming Other Parent Graphs 99 (Page 90)
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Transforming Other Parent Graphs 101 (Page 90)
arrow_right 2.2.2 Describing (h, k) for Each Family of Functions p.93-95
Describing (h, k) for Each Family of Functions 107 (Page 93)
Describing (h, k) for Each Family of Functions 108 (Page 93)
Describing (h, k) for Each Family of Functions 109 (Page 93)
Describing (h, k) for Each Family of Functions 110 (Page 93)
Describing (h, k) for Each Family of Functions 111 (Page 93)
Describing (h, k) for Each Family of Functions 112 (Page 94)
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Describing (h, k) for Each Family of Functions 114 (Page 94)
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Describing (h, k) for Each Family of Functions 116 (Page 94)
Describing (h, k) for Each Family of Functions 117 (Page 95)
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Describing (h, k) for Each Family of Functions 119 (Page 95)
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arrow_right 2.2.3 Transformation of Functions p.98-99
Transformation of Functions 125 (Page 98)
Transformation of Functions 126 (Page 99)
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Transformation of Functions 128 (Page 99)
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Transformation of Functions 130 (Page 99)
Transformation of Functions 131 (Page 99)
arrow_right 2.2.4 Transforming Non-Functions p.102-104
Transforming Non-Functions 139 (Page 102)
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Transforming Non-Functions 141 (Page 102)
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Transforming Non-Functions 143 (Page 103)
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Transforming Non-Functions 147 (Page 103)
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Transforming Non-Functions 152 (Page 104)
arrow_right 2.2.5 Transforming Piecewise-Defined Functions p.108-109
Transforming Piecewise-Defined Functions 162 (Page 108)
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Transforming Piecewise-Defined Functions 164 (Page 109)
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Transforming Piecewise-Defined Functions 166 (Page 109)
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