Holt Mcdougal Larson Algebra 2: Student Edition 2012
Holt Mcdougal Larson Algebra 2: Student Edition 2012
1st Edition
ISBN: 9780547647159
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
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Concept explainers

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Expert Solution & Answer
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Chapter 1.1, Problem 30E
Solution

Graph the function. Label the vertex and axis of symmetry.

Axis of symmetry (x) =−b2a=−1

Vertex =(−1,  −3.5)

Given:

The given function f(x)=12x2+x−3

Concept Used:

  • The vertex is the highest point if the parabola opens downward and the lowest point if the parabola opens upward.
  • The axis of symmetry is the line that cuts the parabola into 2 matching halves and the vertex lies on the axis of symmetry.

Calculation:

The graph of the given function f(x)=12x2+x−3 is -

  Holt Mcdougal Larson Algebra 2: Student Edition 2012, Chapter 1.1, Problem 30E

The given function f(x)=12x2+x−3

Here a=12, b=1, c=−3

Axis of symmetry (x) =−b2a

  =−(1)2(12)=−1

So Axis of symmetry (x) =−b2a=−1

Vertex =−b2a,y(−b2a)

  y−b2a=y−1f(x)=12x2+x−3=1212+(−1)−3=12−1−3=12−4=1−82=−72=−3.5

Vertex =−b2a,f(−b2a)

Vertex =(−1,  −3.5)

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Chapter 1.1, Problem 29E
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Chapter 1.1, Problem 31E

Chapter 1 Solutions

Holt Mcdougal Larson Algebra 2: Student Edition 2012

Ch. 1.1 - Prob. 1GPCh. 1.1 - Prob. 2GPCh. 1.1 - Prob. 3GPCh. 1.1 - Prob. 4GPCh. 1.1 - Prob. 5GPCh. 1.1 - Prob. 6GPCh. 1.1 - Prob. 7GPCh. 1.1 - Prob. 8GPCh. 1.1 - Prob. 1ECh. 1.1 - Prob. 2E
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Prob. 7QCh. 1.4 - Prob. 8QCh. 1.4 - Prob. 9QCh. 1.4 - Prob. 10QCh. 1.4 - Prob. 11QCh. 1.4 - Prob. 12QCh. 1.4 - Prob. 13QCh. 1.5 - Prob. 1GPCh. 1.5 - Prob. 2GPCh. 1.5 - Prob. 3GPCh. 1.5 - Prob. 4GPCh. 1.5 - Prob. 5GPCh. 1.5 - Prob. 6GPCh. 1.5 - Prob. 7GPCh. 1.5 - Prob. 8GPCh. 1.5 - Prob. 9GPCh. 1.5 - Prob. 10GPCh. 1.5 - Prob. 11GPCh. 1.5 - Prob. 12GPCh. 1.5 - Prob. 13GPCh. 1.5 - Prob. 14GPCh. 1.5 - Prob. 15GPCh. 1.5 - Prob. 16GPCh. 1.5 - Prob. 17GPCh. 1.5 - Prob. 18GPCh. 1.5 - Prob. 19GPCh. 1.5 - Prob. 20GPCh. 1.5 - Prob. 1ECh. 1.5 - Prob. 2ECh. 1.5 - Prob. 3ECh. 1.5 - Prob. 4ECh. 1.5 - Prob. 5ECh. 1.5 - Prob. 6ECh. 1.5 - Prob. 7ECh. 1.5 - Prob. 8ECh. 1.5 - Prob. 9ECh. 1.5 - Prob. 10ECh. 1.5 - Prob. 11ECh. 1.5 - Prob. 12ECh. 1.5 - Prob. 13ECh. 1.5 - Prob. 14ECh. 1.5 - Prob. 15ECh. 1.5 - Prob. 16ECh. 1.5 - Prob. 17ECh. 1.5 - Prob. 18ECh. 1.5 - Prob. 19ECh. 1.5 - Prob. 20ECh. 1.5 - Prob. 21ECh. 1.5 - Prob. 22ECh. 1.5 - Prob. 23ECh. 1.5 - Prob. 24ECh. 1.5 - Prob. 25ECh. 1.5 - Prob. 26ECh. 1.5 - Prob. 27ECh. 1.5 - Prob. 28ECh. 1.5 - Prob. 29ECh. 1.5 - Prob. 30ECh. 1.5 - Prob. 31ECh. 1.5 - Prob. 32ECh. 1.5 - Prob. 33ECh. 1.5 - Prob. 34ECh. 1.5 - Prob. 35ECh. 1.5 - Prob. 36ECh. 1.5 - Prob. 37ECh. 1.5 - Prob. 38PSCh. 1.5 - Prob. 39PSCh. 1.5 - Prob. 40PSCh. 1.5 - Prob. 41PSCh. 1.5 - Prob. 42PSCh. 1.5 - Prob. 43PSCh. 1.5 - Prob. 1PCh. 1.5 - Prob. 2PCh. 1.5 - Prob. 3PCh. 1.5 - Prob. 4PCh. 1.5 - Prob. 5PCh. 1.5 - Prob. 6PCh. 1.5 - Prob. 7PCh. 1.5 - Prob. 8PCh. 1.5 - Prob. 9PCh. 1.5 - Prob. 10PCh. 1.5 - Prob. 1MRPSCh. 1.5 - Prob. 2MRPSCh. 1.5 - Prob. 3MRPSCh. 1.5 - Prob. 4MRPSCh. 1.5 - Prob. 5MRPSCh. 1.5 - Prob. 6MRPSCh. 1.5 - Prob. 7MRPSCh. 1.6 - Prob. 1GPCh. 1.6 - Prob. 2GPCh. 1.6 - Prob. 3GPCh. 1.6 - Prob. 4GPCh. 1.6 - Prob. 5GPCh. 1.6 - Prob. 6GPCh. 1.6 - Prob. 7GPCh. 1.6 - Prob. 8GPCh. 1.6 - Prob. 9GPCh. 1.6 - Prob. 10GPCh. 1.6 - Prob. 11GPCh. 1.6 - Prob. 12GPCh. 1.6 - Prob. 13GPCh. 1.6 - Prob. 14GPCh. 1.6 - Prob. 15GPCh. 1.6 - Prob. 16GPCh. 1.6 - Prob. 17GPCh. 1.6 - Prob. 18GPCh. 1.6 - Prob. 1ECh. 1.6 - Prob. 2ECh. 1.6 - Prob. 3ECh. 1.6 - Prob. 4ECh. 1.6 - Prob. 5ECh. 1.6 - Prob. 6ECh. 1.6 - Prob. 7ECh. 1.6 - Prob. 8ECh. 1.6 - Prob. 9ECh. 1.6 - Prob. 10ECh. 1.6 - Prob. 11ECh. 1.6 - Prob. 12ECh. 1.6 - Prob. 13ECh. 1.6 - Prob. 14ECh. 1.6 - Prob. 15ECh. 1.6 - Prob. 16ECh. 1.6 - Prob. 17ECh. 1.6 - Prob. 18ECh. 1.6 - Prob. 19ECh. 1.6 - Prob. 20ECh. 1.6 - Prob. 21ECh. 1.6 - Prob. 22ECh. 1.6 - Prob. 23ECh. 1.6 - Prob. 24ECh. 1.6 - Prob. 25ECh. 1.6 - Prob. 26ECh. 1.6 - Prob. 27ECh. 1.6 - Prob. 28ECh. 1.6 - Prob. 29ECh. 1.6 - Prob. 30ECh. 1.6 - Prob. 31ECh. 1.6 - Prob. 32ECh. 1.6 - Prob. 33ECh. 1.6 - Prob. 34ECh. 1.6 - Prob. 35ECh. 1.6 - Prob. 36ECh. 1.6 - Prob. 37ECh. 1.6 - Prob. 38ECh. 1.6 - Prob. 39ECh. 1.6 - Prob. 40ECh. 1.6 - Prob. 41ECh. 1.6 - Prob. 42ECh. 1.6 - Prob. 43ECh. 1.6 - Prob. 44ECh. 1.6 - Prob. 45ECh. 1.6 - Prob. 46ECh. 1.6 - Prob. 47ECh. 1.6 - Prob. 48ECh. 1.6 - Prob. 49ECh. 1.6 - Prob. 50ECh. 1.6 - Prob. 51ECh. 1.6 - Prob. 52ECh. 1.6 - Prob. 53ECh. 1.6 - Prob. 54ECh. 1.6 - 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Prob. 67PSCh. 1.7 - Prob. 68PSCh. 1.7 - Prob. 1QCh. 1.7 - Prob. 2QCh. 1.7 - Prob. 3QCh. 1.7 - Prob. 4QCh. 1.7 - Prob. 5QCh. 1.7 - Prob. 6QCh. 1.7 - Prob. 7QCh. 1.7 - Prob. 8QCh. 1.7 - Prob. 9QCh. 1.7 - Prob. 10QCh. 1.7 - Prob. 11QCh. 1.7 - Prob. 12QCh. 1.7 - Prob. 13QCh. 1.7 - Prob. 14QCh. 1.7 - Prob. 15QCh. 1.7 - Prob. 16QCh. 1.7 - Prob. 17QCh. 1.7 - Prob. 18QCh. 1.7 - Prob. 19QCh. 1.8 - Prob. 1GPCh. 1.8 - Prob. 2GPCh. 1.8 - Prob. 3GPCh. 1.8 - Prob. 4GPCh. 1.8 - Prob. 5GPCh. 1.8 - Prob. 6GPCh. 1.8 - Prob. 7GPCh. 1.8 - Prob. 8GPCh. 1.8 - Prob. 9GPCh. 1.8 - Prob. 10GPCh. 1.8 - Prob. 1ECh. 1.8 - Prob. 2ECh. 1.8 - Prob. 3ECh. 1.8 - Prob. 4ECh. 1.8 - Prob. 5ECh. 1.8 - Prob. 6ECh. 1.8 - Prob. 7ECh. 1.8 - Prob. 8ECh. 1.8 - Prob. 9ECh. 1.8 - Prob. 10ECh. 1.8 - Prob. 11ECh. 1.8 - Prob. 12ECh. 1.8 - Prob. 13ECh. 1.8 - Prob. 14ECh. 1.8 - Prob. 15ECh. 1.8 - Prob. 16ECh. 1.8 - Prob. 17ECh. 1.8 - Prob. 18ECh. 1.8 - Prob. 19ECh. 1.8 - Prob. 20ECh. 1.8 - Prob. 21ECh. 1.8 - Prob. 22ECh. 1.8 - Prob. 23ECh. 1.8 - Prob. 24ECh. 1.8 - Prob. 25ECh. 1.8 - Prob. 26ECh. 1.8 - Prob. 27ECh. 1.8 - Prob. 28ECh. 1.8 - Prob. 29ECh. 1.8 - Prob. 30ECh. 1.8 - Prob. 31ECh. 1.8 - Prob. 32ECh. 1.8 - Prob. 33ECh. 1.8 - Prob. 34ECh. 1.8 - Prob. 35ECh. 1.8 - Prob. 36ECh. 1.8 - Prob. 37ECh. 1.8 - Prob. 38ECh. 1.8 - Prob. 39ECh. 1.8 - Prob. 40ECh. 1.8 - Prob. 41ECh. 1.8 - Prob. 42ECh. 1.8 - Prob. 43ECh. 1.8 - Prob. 44ECh. 1.8 - Prob. 45ECh. 1.8 - Prob. 46ECh. 1.8 - Prob. 47ECh. 1.8 - Prob. 48ECh. 1.8 - Prob. 49ECh. 1.8 - Prob. 50ECh. 1.8 - Prob. 51ECh. 1.8 - Prob. 52ECh. 1.8 - Prob. 53ECh. 1.8 - Prob. 54ECh. 1.8 - Prob. 55ECh. 1.8 - Prob. 56ECh. 1.8 - Prob. 57ECh. 1.8 - Prob. 58ECh. 1.8 - Prob. 59ECh. 1.8 - Prob. 60ECh. 1.8 - Prob. 61ECh. 1.8 - Prob. 62ECh. 1.8 - Prob. 63ECh. 1.8 - Prob. 64ECh. 1.8 - Prob. 65ECh. 1.8 - Prob. 66ECh. 1.8 - Prob. 67ECh. 1.8 - Prob. 68PSCh. 1.8 - Prob. 69PSCh. 1.8 - Prob. 70PSCh. 1.8 - Prob. 71PSCh. 1.8 - Prob. 72PSCh. 1.8 - Prob. 73PSCh. 1.8 - Prob. 74PSCh. 1.9 - Prob. 1GPCh. 1.9 - Prob. 2GPCh. 1.9 - Prob. 3GPCh. 1.9 - Prob. 4GPCh. 1.9 - Prob. 5GPCh. 1.9 - Prob. 6GPCh. 1.9 - Prob. 7GPCh. 1.9 - Prob. 1ECh. 1.9 - Prob. 2ECh. 1.9 - Prob. 3ECh. 1.9 - Prob. 4ECh. 1.9 - Prob. 5ECh. 1.9 - Prob. 6ECh. 1.9 - Prob. 7ECh. 1.9 - Prob. 8ECh. 1.9 - Prob. 9ECh. 1.9 - Prob. 10ECh. 1.9 - Prob. 11ECh. 1.9 - Prob. 12ECh. 1.9 - Prob. 13ECh. 1.9 - Prob. 14ECh. 1.9 - Prob. 15ECh. 1.9 - Prob. 16ECh. 1.9 - Prob. 17ECh. 1.9 - Prob. 18ECh. 1.9 - Prob. 19ECh. 1.9 - Prob. 20ECh. 1.9 - Prob. 21ECh. 1.9 - Prob. 22ECh. 1.9 - Prob. 23ECh. 1.9 - Prob. 24ECh. 1.9 - Prob. 25ECh. 1.9 - Prob. 26ECh. 1.9 - Prob. 27ECh. 1.9 - Prob. 28ECh. 1.9 - Prob. 29ECh. 1.9 - Prob. 30ECh. 1.9 - Prob. 31ECh. 1.9 - Prob. 32ECh. 1.9 - Prob. 33ECh. 1.9 - Prob. 34ECh. 1.9 - Prob. 35ECh. 1.9 - Prob. 36ECh. 1.9 - Prob. 37ECh. 1.9 - Prob. 38ECh. 1.9 - Prob. 39ECh. 1.9 - Prob. 40ECh. 1.9 - Prob. 41ECh. 1.9 - Prob. 42ECh. 1.9 - Prob. 43ECh. 1.9 - Prob. 44ECh. 1.9 - Prob. 45ECh. 1.9 - Prob. 46ECh. 1.9 - Prob. 47ECh. 1.9 - Prob. 48ECh. 1.9 - Prob. 49ECh. 1.9 - Prob. 50ECh. 1.9 - Prob. 51ECh. 1.9 - Prob. 52ECh. 1.9 - Prob. 53ECh. 1.9 - Prob. 54ECh. 1.9 - Prob. 55ECh. 1.9 - Prob. 56ECh. 1.9 - Prob. 57ECh. 1.9 - Prob. 58ECh. 1.9 - Prob. 59ECh. 1.9 - Prob. 60ECh. 1.9 - Prob. 61ECh. 1.9 - Prob. 62ECh. 1.9 - Prob. 63ECh. 1.9 - Prob. 64ECh. 1.9 - Prob. 65ECh. 1.9 - Prob. 66ECh. 1.9 - Prob. 67ECh. 1.9 - Prob. 68ECh. 1.9 - Prob. 69ECh. 1.9 - Prob. 70PSCh. 1.9 - Prob. 71PSCh. 1.9 - Prob. 72PSCh. 1.9 - Prob. 73PSCh. 1.9 - Prob. 74PSCh. 1.9 - Prob. 75PSCh. 1.9 - Prob. 76PSCh. 1.9 - Prob. 77PSCh. 1.9 - Prob. 1QCh. 1.9 - Prob. 2QCh. 1.9 - Prob. 3QCh. 1.9 - Prob. 4QCh. 1.9 - Prob. 5QCh. 1.9 - Prob. 6QCh. 1.9 - Prob. 7QCh. 1.9 - Prob. 8QCh. 1.9 - Prob. 9QCh. 1.9 - Prob. 10QCh. 1.9 - Prob. 11QCh. 1.9 - Prob. 12QCh. 1.9 - Prob. 13QCh. 1.9 - Prob. 1MRPSCh. 1.9 - Prob. 2MRPSCh. 1.9 - Prob. 3MRPSCh. 1.9 - Prob. 4MRPSCh. 1.9 - Prob. 5MRPSCh. 1.9 - Prob. 6MRPSCh. 1.9 - Prob. 7MRPSCh. 1.9 - Prob. 8MRPSCh. 1.9 - Prob. 9MRPSCh. 1 - Prob. 1VECh. 1 - Prob. 2VECh. 1 - Prob. 3VECh. 1 - Prob. 4VECh. 1 - Prob. 5REAECh. 1 - Prob. 6REAECh. 1 - Prob. 7REAECh. 1 - Prob. 8REAECh. 1 - Prob. 9REAECh. 1 - Prob. 10REAECh. 1 - Prob. 11REAECh. 1 - Prob. 12REAECh. 1 - Prob. 13REAECh. 1 - Prob. 14REAECh. 1 - Prob. 15REAECh. 1 - Prob. 16REAECh. 1 - Prob. 17REAECh. 1 - Prob. 18REAECh. 1 - Prob. 19REAECh. 1 - Prob. 20REAECh. 1 - Prob. 21REAECh. 1 - Prob. 22REAECh. 1 - Prob. 23REAECh. 1 - Prob. 24REAECh. 1 - Prob. 25REAECh. 1 - Prob. 26REAECh. 1 - Prob. 27REAECh. 1 - Prob. 28REAECh. 1 - Prob. 29REAECh. 1 - Prob. 30REAECh. 1 - Prob. 31REAECh. 1 - Prob. 32REAECh. 1 - Prob. 33REAECh. 1 - Prob. 34REAECh. 1 - Prob. 35REAECh. 1 - Prob. 36REAECh. 1 - Prob. 37REAECh. 1 - Prob. 38REAECh. 1 - Prob. 39REAECh. 1 - Prob. 40REAECh. 1 - Prob. 41REAECh. 1 - Prob. 42REAECh. 1 - Prob. 43REAECh. 1 - Prob. 44REAECh. 1 - Prob. 1TCh. 1 - Prob. 2TCh. 1 - Prob. 3TCh. 1 - Prob. 4TCh. 1 - Prob. 5TCh. 1 - Prob. 6TCh. 1 - Prob. 7TCh. 1 - Prob. 8TCh. 1 - Prob. 9TCh. 1 - Prob. 10TCh. 1 - Prob. 11TCh. 1 - Prob. 12TCh. 1 - Prob. 13TCh. 1 - Prob. 14TCh. 1 - Prob. 15TCh. 1 - Prob. 16TCh. 1 - Prob. 17TCh. 1 - Prob. 18TCh. 1 - Prob. 19TCh. 1 - Prob. 20TCh. 1 - Prob. 21TCh. 1 - Prob. 22TCh. 1 - Prob. 23TCh. 1 - Prob. 24TCh. 1 - Prob. 25TCh. 1 - Prob. 26TCh. 1 - Prob. 27TCh. 1 - Prob. 28TCh. 1 - Prob. 29TCh. 1 - Prob. 30TCh. 1 - Prob. 31TCh. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - Prob. 1TPCh. 1 - Prob. 2TPCh. 1 - Prob. 3TPCh. 1 - Prob. 4TPCh. 1 - Prob. 5TPCh. 1 - Prob. 6TPCh. 1 - Prob. 7TPCh. 1 - Prob. 8TPCh. 1 - Prob. 9TPCh. 1 - Prob. 10TPCh. 1 - Prob. 11TPCh. 1 - Prob. 12TPCh. 1 - Prob. 13TPCh. 1 - Prob. 14TPCh. 1 - Prob. 15TPCh. 1 - Prob. 16TPCh. 1 - Prob. 17TPCh. 1 - Prob. 18TPCh. 1 - Prob. 19TPCh. 1 - Prob. 20TPCh. 1 - Prob. 21TPCh. 1 - Prob. 22TP
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