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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Chapter 1.2, Problem 48E
Solution

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

Axis of symmetry (x) =−b2a=0.867

Vertex =(0.867, −0.544)

Given:

The given function g(x)=52(x−43)(x−25) .

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 g(x)=52(x−43)(x−25) is -

  Holt Mcdougal Larson Algebra 2: Student Edition 2012, Chapter 1.2, Problem 48E

The given function g(x)=52(x−43)(x−25)

  g(x)=52(x−43)(x−25)=52(x⋅x+x⋅(−25)−43.x−43.(−25))=52(x2−25x−43x+815)=52(x2−2x⋅3−4x⋅515+815)=52(x2−6x−20x15+815)=52(x2−26x15+815)=52x2−13x3+43

Here a=52,  b=−133,  c=43

Axis of symmetry (x) =−b2a

  =−(−133)2(52)=1335=1315=0.867

So Axis of symmetry (x) =−b2a=0.867

Vertex =−b2a,g(−b2a)

  g−b2a=g1315g(x)=52(x−43)(x−25)g(1315)=52(1315−43)(1315−25)=52(13−2015)(13−615)=52(−715)(715)=52−49225=−4990=−0.544

Vertex =−b2a,g(−b2a)

Vertex =(0.867, −0.544)

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Chapter 1.2, Problem 47E
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Chapter 1.2, Problem 49E

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. 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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