Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Concept explainers

Maximization
Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.
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Chapter 10.7, Problem 1CFU
To determine

To sketch:

The parabola with vertex at the origin and a horizontal line of symmetry.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given:

The parabola for

  T(−3,3)

Concept used:

The parabola equation

  ax2+by+c=0

The standard form of parabola form is

  (x−h)2=4a(y−k)

Where the focus is (h,k+a)

The directrix is y=k−a

If the parabola is rotated

Where (h,k) is the vertex

Calculation:

The equation of parabola

  (x−h)2=4a(y−k)

The vertex (h,k) at the origin

  (x−0)2=4a(y−0)x2=4ay

The parabola is rotated for T(−3,3)

  x2=4ay9=12aa=912a=34

  x2=4ayx2=4×34yx2=3y

Draw the graph

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 10.7, Problem 1CFU

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Chapter 10.6, Problem 56E
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Chapter 10.7, Problem 2CFU

Chapter 10 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 10.1 - Prob. 1CFUCh. 10.1 - Prob. 2CFUCh. 10.1 - Prob. 3CFUCh. 10.1 - Prob. 4CFUCh. 10.1 - Prob. 5CFUCh. 10.1 - Prob. 6CFUCh. 10.1 - Prob. 7CFUCh. 10.1 - Prob. 8CFUCh. 10.1 - Prob. 9CFUCh. 10.1 - Prob. 10CFU
Ch. 10.1 - Prob. 11CFUCh. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Prob. 14ECh. 10.1 - Prob. 15ECh. 10.1 - Prob. 16ECh. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - Prob. 25ECh. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - Prob. 31ECh. 10.1 - Prob. 32ECh. 10.1 - Prob. 33ECh. 10.1 - Prob. 34ECh. 10.1 - Prob. 35ECh. 10.1 - Prob. 36ECh. 10.1 - Prob. 37ECh. 10.1 - Prob. 38ECh. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.1 - Prob. 42ECh. 10.1 - Prob. 43ECh. 10.1 - Prob. 44ECh. 10.2 - Prob. 1CFUCh. 10.2 - Prob. 2CFUCh. 10.2 - Prob. 3CFUCh. 10.2 - Prob. 4CFUCh. 10.2 - Prob. 5CFUCh. 10.2 - Prob. 6CFUCh. 10.2 - Prob. 7CFUCh. 10.2 - Prob. 8CFUCh. 10.2 - Prob. 9CFUCh. 10.2 - Prob. 10CFUCh. 10.2 - Prob. 11CFUCh. 10.2 - Prob. 12CFUCh. 10.2 - Prob. 13CFUCh. 10.2 - Prob. 14CFUCh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - Prob. 33ECh. 10.2 - Prob. 34ECh. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - Prob. 38ECh. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - Prob. 44ECh. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.2 - Prob. 50ECh. 10.2 - Prob. 51ECh. 10.2 - Prob. 52ECh. 10.2 - Prob. 53ECh. 10.2 - Prob. 54ECh. 10.2 - Prob. 55ECh. 10.2 - Prob. 56ECh. 10.2 - Prob. 57ECh. 10.2 - Prob. 58ECh. 10.3 - Prob. 1CFUCh. 10.3 - Prob. 2CFUCh. 10.3 - Prob. 3CFUCh. 10.3 - Prob. 4CFUCh. 10.3 - Prob. 5CFUCh. 10.3 - Prob. 6CFUCh. 10.3 - Prob. 7CFUCh. 10.3 - Prob. 8CFUCh. 10.3 - Prob. 9CFUCh. 10.3 - Prob. 10CFUCh. 10.3 - Prob. 11CFUCh. 10.3 - Prob. 12CFUCh. 10.3 - Prob. 13CFUCh. 10.3 - Prob. 14CFUCh. 10.3 - Prob. 15CFUCh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Prob. 18ECh. 10.3 - Prob. 19ECh. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - Prob. 30ECh. 10.3 - Prob. 31ECh. 10.3 - Prob. 32ECh. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Prob. 37ECh. 10.3 - Prob. 38ECh. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.3 - Prob. 41ECh. 10.3 - Prob. 42ECh. 10.3 - Prob. 43ECh. 10.3 - Prob. 44ECh. 10.3 - Prob. 45ECh. 10.3 - Prob. 46ECh. 10.3 - Prob. 47ECh. 10.3 - Prob. 48ECh. 10.3 - Prob. 49ECh. 10.3 - Prob. 50ECh. 10.3 - Prob. 51ECh. 10.3 - Prob. 52ECh. 10.3 - Prob. 53ECh. 10.3 - Prob. 54ECh. 10.3 - Prob. 55ECh. 10.3 - Prob. 56ECh. 10.3 - Prob. 57ECh. 10.3 - Prob. 58ECh. 10.3 - Prob. 59ECh. 10.3 - Prob. 60ECh. 10.3 - Prob. 61ECh. 10.3 - Prob. 62ECh. 10.3 - Prob. 63ECh. 10.3 - Prob. 1GCECh. 10.3 - Prob. 2GCECh. 10.3 - Prob. 3GCECh. 10.3 - Prob. 4GCECh. 10.3 - Prob. 5GCECh. 10.3 - Prob. 6GCECh. 10.3 - Prob. 7GCECh. 10.3 - Prob. 8GCECh. 10.4 - Prob. 1CFUCh. 10.4 - Prob. 2CFUCh. 10.4 - Prob. 3CFUCh. 10.4 - Prob. 4CFUCh. 10.4 - Prob. 5CFUCh. 10.4 - Prob. 6CFUCh. 10.4 - Prob. 7CFUCh. 10.4 - Prob. 8CFUCh. 10.4 - Prob. 9CFUCh. 10.4 - Prob. 10CFUCh. 10.4 - Prob. 11CFUCh. 10.4 - Prob. 12CFUCh. 10.4 - Prob. 13CFUCh. 10.4 - Prob. 14CFUCh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - Prob. 26ECh. 10.4 - Prob. 27ECh. 10.4 - Prob. 28ECh. 10.4 - Prob. 29ECh. 10.4 - Prob. 30ECh. 10.4 - Prob. 31ECh. 10.4 - Prob. 32ECh. 10.4 - Prob. 33ECh. 10.4 - Prob. 34ECh. 10.4 - Prob. 35ECh. 10.4 - Prob. 36ECh. 10.4 - Prob. 37ECh. 10.4 - Prob. 38ECh. 10.4 - Prob. 39ECh. 10.4 - Prob. 40ECh. 10.4 - Prob. 41ECh. 10.4 - Prob. 42ECh. 10.4 - Prob. 43ECh. 10.4 - Prob. 44ECh. 10.4 - Prob. 45ECh. 10.4 - Prob. 46ECh. 10.4 - Prob. 47ECh. 10.4 - Prob. 48ECh. 10.4 - Prob. 49ECh. 10.4 - Prob. 50ECh. 10.4 - Prob. 51ECh. 10.4 - Prob. 52ECh. 10.4 - Prob. 53ECh. 10.4 - Prob. 54ECh. 10.4 - Prob. 55ECh. 10.4 - Prob. 56ECh. 10.4 - Prob. 57ECh. 10.5 - Prob. 1CFUCh. 10.5 - Prob. 2CFUCh. 10.5 - Prob. 3CFUCh. 10.5 - Prob. 4CFUCh. 10.5 - Prob. 5CFUCh. 10.5 - Prob. 6CFUCh. 10.5 - Prob. 7CFUCh. 10.5 - Prob. 8CFUCh. 10.5 - Prob. 9CFUCh. 10.5 - Prob. 10CFUCh. 10.5 - Prob. 11CFUCh. 10.5 - Prob. 12CFUCh. 10.5 - Prob. 13ECh. 10.5 - Prob. 14ECh. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - Prob. 18ECh. 10.5 - Prob. 19ECh. 10.5 - Prob. 20ECh. 10.5 - Prob. 21ECh. 10.5 - Prob. 22ECh. 10.5 - Prob. 23ECh. 10.5 - Prob. 24ECh. 10.5 - Prob. 25ECh. 10.5 - Prob. 26ECh. 10.5 - Prob. 27ECh. 10.5 - Prob. 28ECh. 10.5 - Prob. 29ECh. 10.5 - Prob. 30ECh. 10.5 - Prob. 31ECh. 10.5 - Prob. 32ECh. 10.5 - Prob. 33ECh. 10.5 - Prob. 34ECh. 10.5 - Prob. 35ECh. 10.5 - Prob. 36ECh. 10.5 - Prob. 37ECh. 10.5 - Prob. 38ECh. 10.5 - Prob. 39ECh. 10.5 - Prob. 40ECh. 10.5 - Prob. 41ECh. 10.5 - Prob. 42ECh. 10.5 - Prob. 43ECh. 10.5 - Prob. 44ECh. 10.5 - Prob. 45ECh. 10.5 - Prob. 1MCQCh. 10.5 - Prob. 2MCQCh. 10.5 - Prob. 3MCQCh. 10.5 - Prob. 4MCQCh. 10.5 - Prob. 5MCQCh. 10.5 - Prob. 6MCQCh. 10.5 - Prob. 7MCQCh. 10.5 - Prob. 8MCQCh. 10.5 - Prob. 9MCQCh. 10.5 - Prob. 10MCQCh. 10.6 - Prob. 1GCECh. 10.6 - Prob. 2GCECh. 10.6 - Prob. 3GCECh. 10.6 - Prob. 4GCECh. 10.6 - Prob. 5GCECh. 10.6 - Prob. 1CFUCh. 10.6 - Prob. 2CFUCh. 10.6 - Prob. 3CFUCh. 10.6 - Prob. 4CFUCh. 10.6 - Prob. 5CFUCh. 10.6 - Prob. 6CFUCh. 10.6 - Prob. 7CFUCh. 10.6 - Prob. 8CFUCh. 10.6 - Prob. 9CFUCh. 10.6 - Prob. 10CFUCh. 10.6 - Prob. 11CFUCh. 10.6 - Prob. 12CFUCh. 10.6 - Prob. 13ECh. 10.6 - Prob. 14ECh. 10.6 - Prob. 15ECh. 10.6 - Prob. 16ECh. 10.6 - Prob. 17ECh. 10.6 - Prob. 18ECh. 10.6 - Prob. 19ECh. 10.6 - Prob. 20ECh. 10.6 - Prob. 21ECh. 10.6 - Prob. 22ECh. 10.6 - Prob. 23ECh. 10.6 - Prob. 24ECh. 10.6 - Prob. 25ECh. 10.6 - Prob. 26ECh. 10.6 - Prob. 27ECh. 10.6 - Prob. 28ECh. 10.6 - Prob. 29ECh. 10.6 - Prob. 30ECh. 10.6 - Prob. 31ECh. 10.6 - Prob. 32ECh. 10.6 - Prob. 33ECh. 10.6 - Prob. 34ECh. 10.6 - Prob. 35ECh. 10.6 - Prob. 36ECh. 10.6 - Prob. 37ECh. 10.6 - Prob. 38ECh. 10.6 - Prob. 39ECh. 10.6 - Prob. 40ECh. 10.6 - Prob. 41ECh. 10.6 - Prob. 42ECh. 10.6 - Prob. 43ECh. 10.6 - Prob. 44ECh. 10.6 - Prob. 45ECh. 10.6 - Prob. 46ECh. 10.6 - Prob. 47ECh. 10.6 - Prob. 48ECh. 10.6 - Prob. 49ECh. 10.6 - Prob. 50ECh. 10.6 - Prob. 51ECh. 10.6 - Prob. 52ECh. 10.6 - Prob. 53ECh. 10.6 - Prob. 54ECh. 10.6 - Prob. 55ECh. 10.6 - Prob. 56ECh. 10.7 - Prob. 1CFUCh. 10.7 - Prob. 2CFUCh. 10.7 - Prob. 3CFUCh. 10.7 - Prob. 4CFUCh. 10.7 - Prob. 5CFUCh. 10.7 - Prob. 6CFUCh. 10.7 - Prob. 7CFUCh. 10.7 - Prob. 8CFUCh. 10.7 - Prob. 9CFUCh. 10.7 - Prob. 10CFUCh. 10.7 - Prob. 11CFUCh. 10.7 - Prob. 12CFUCh. 10.7 - Prob. 13ECh. 10.7 - Prob. 14ECh. 10.7 - Prob. 15ECh. 10.7 - Prob. 16ECh. 10.7 - Prob. 17ECh. 10.7 - Prob. 18ECh. 10.7 - Prob. 19ECh. 10.7 - Prob. 20ECh. 10.7 - Prob. 21ECh. 10.7 - Prob. 22ECh. 10.7 - Prob. 23ECh. 10.7 - Prob. 24ECh. 10.7 - Prob. 25ECh. 10.7 - Prob. 26ECh. 10.7 - Prob. 27ECh. 10.7 - Prob. 28ECh. 10.7 - Prob. 29ECh. 10.7 - Prob. 30ECh. 10.7 - Prob. 31ECh. 10.7 - Prob. 32ECh. 10.7 - Prob. 33ECh. 10.7 - Prob. 34ECh. 10.7 - Prob. 35ECh. 10.7 - Prob. 36ECh. 10.7 - Prob. 37ECh. 10.7 - Prob. 38ECh. 10.7 - Prob. 39ECh. 10.7 - Prob. 40ECh. 10.7 - Prob. 41ECh. 10.7 - Prob. 42ECh. 10.7 - Prob. 43ECh. 10.7 - Prob. 44ECh. 10.7 - Prob. 45ECh. 10.7 - Prob. 46ECh. 10.7 - Prob. 47ECh. 10.7 - Prob. 48ECh. 10.7 - Prob. 49ECh. 10.7 - Prob. 50ECh. 10.7 - Prob. 51ECh. 10.7 - Prob. 52ECh. 10.7 - Prob. 53ECh. 10.7 - Prob. 54ECh. 10.7 - Prob. 55ECh. 10.7 - Prob. 56ECh. 10.7 - Prob. 57ECh. 10.7 - Prob. 58ECh. 10.7 - Prob. 59ECh. 10.8 - Prob. 1CFUCh. 10.8 - Prob. 2CFUCh. 10.8 - Prob. 3CFUCh. 10.8 - Prob. 4CFUCh. 10.8 - Prob. 5CFUCh. 10.8 - Prob. 6CFUCh. 10.8 - Prob. 7CFUCh. 10.8 - Prob. 8CFUCh. 10.8 - Prob. 9CFUCh. 10.8 - Prob. 10CFUCh. 10.8 - Prob. 11CFUCh. 10.8 - Prob. 12CFUCh. 10.8 - Prob. 13ECh. 10.8 - Prob. 14ECh. 10.8 - Prob. 15ECh. 10.8 - Prob. 16ECh. 10.8 - Prob. 17ECh. 10.8 - Prob. 18ECh. 10.8 - Prob. 19ECh. 10.8 - Prob. 20ECh. 10.8 - Prob. 21ECh. 10.8 - Prob. 22ECh. 10.8 - Prob. 23ECh. 10.8 - Prob. 24ECh. 10.8 - Prob. 25ECh. 10.8 - Prob. 26ECh. 10.8 - Prob. 27ECh. 10.8 - Prob. 28ECh. 10.8 - Prob. 29ECh. 10.8 - Prob. 30ECh. 10.8 - Prob. 31ECh. 10.8 - Prob. 32ECh. 10.8 - Prob. 33ECh. 10.8 - Prob. 34ECh. 10.8 - Prob. 35ECh. 10.8 - Prob. 36ECh. 10.8 - Prob. 37ECh. 10.8 - Prob. 38ECh. 10.8 - Prob. 39ECh. 10.8 - Prob. 40ECh. 10.8 - Prob. 41ECh. 10.8 - Prob. 42ECh. 10.8 - Prob. 43ECh. 10.8 - Prob. 44ECh. 10.8 - Prob. 45ECh. 10.8 - Prob. 46ECh. 10.8 - Prob. 47ECh. 10.8 - Prob. 48ECh. 10.8 - Prob. 49ECh. 10.8 - Prob. 50ECh. 10.8B - Prob. 1GCECh. 10.8B - Prob. 2GCECh. 10.8B - Prob. 3GCECh. 10.8B - Prob. 4GCECh. 10.8B - Prob. 5GCECh. 10.8B - Prob. 6GCECh. 10 - Prob. 1SGACh. 10 - Prob. 2SGACh. 10 - Prob. 3SGACh. 10 - Prob. 4SGACh. 10 - Prob. 5SGACh. 10 - Prob. 6SGACh. 10 - Prob. 7SGACh. 10 - Prob. 8SGACh. 10 - Prob. 9SGACh. 10 - Prob. 10SGACh. 10 - Prob. 11SGACh. 10 - Prob. 12SGACh. 10 - Prob. 13SGACh. 10 - Prob. 14SGACh. 10 - Prob. 15SGACh. 10 - Prob. 16SGACh. 10 - Prob. 17SGACh. 10 - Prob. 18SGACh. 10 - Prob. 19SGACh. 10 - Prob. 20SGACh. 10 - Prob. 21SGACh. 10 - Prob. 22SGACh. 10 - Prob. 23SGACh. 10 - Prob. 24SGACh. 10 - Prob. 25SGACh. 10 - Prob. 26SGACh. 10 - Prob. 27SGACh. 10 - Prob. 28SGACh. 10 - Prob. 29SGACh. 10 - Prob. 30SGACh. 10 - Prob. 31SGACh. 10 - Prob. 32SGACh. 10 - Prob. 33SGACh. 10 - Prob. 34SGACh. 10 - Prob. 35SGACh. 10 - Prob. 36SGACh. 10 - Prob. 37SGACh. 10 - Prob. 38SGACh. 10 - Prob. 39SGACh. 10 - Prob. 40SGACh. 10 - Prob. 41SGACh. 10 - Prob. 42SGACh. 10 - Prob. 43SGACh. 10 - Prob. 44SGACh. 10 - Prob. 45SGACh. 10 - Prob. 46SGACh. 10 - Prob. 47SGACh. 10 - Prob. 48SGACh. 10 - Prob. 49SGACh. 10 - Prob. 50SGACh. 10 - Prob. 51SGACh. 10 - Prob. 52SGACh. 10 - Prob. 53SGACh. 10 - Prob. 54SGACh. 10 - Prob. 55SGACh. 10 - Prob. 56SGACh. 10 - Prob. 57SGACh. 10 - Prob. 58SGACh. 10 - Prob. 59SGACh. 10 - Prob. 60SGACh. 10 - Prob. 61SGACh. 10 - Prob. 62SGACh. 10 - Prob. 63SGACh. 10 - Prob. 64SGACh. 10 - Prob. 65SGACh. 10 - Prob. 1SAPCh. 10 - Prob. 2SAPCh. 10 - Prob. 3SAPCh. 10 - Prob. 4SAPCh. 10 - Prob. 5SAPCh. 10 - Prob. 6SAPCh. 10 - Prob. 7SAPCh. 10 - Prob. 8SAPCh. 10 - Prob. 9SAPCh. 10 - Prob. 10SAP

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Finding The Focus and Directrix of a Parabola - Conic Sections; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=KYgmOTLbuqE;License: Standard YouTube License, CC-BY