Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Question
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Chapter 7.6, Problem 66HP

a.

To determine

To write the function according to the given transformation

a.

Expert Solution
Check Mark

Answer to Problem 66HP

  y=2(5)x

Explanation of Solution

Given:

The parent function: f(x)=5x

We have, y=f(x)=5x

Now, taking reflection about y- axis, which means,

  y=f(x)=5x

Again, vertically compressing the obtained function by a factor of 2

  y=2f(x)=2(5)x

Conclusion:

Hence, the transformed function is: y=2(5)x .

b.

To determine

To write the function according to the given transformation

b.

Expert Solution
Check Mark

Answer to Problem 66HP

  y=0.5(5)x+2+8

Explanation of Solution

The parent function: f(x)=5x

We have, y=f(x)=5x

Now, horizontally stretching the parent function by a factor of 0.5

  y=0.5f(x)=0.5(5)x

Again, translating the obtained function to the left, which means,

  y=0.5f(x+2)=0.5(5)x+2

Again, translating the obtained function to the up, which means,

  y=0.5f(x+2)+8=0.5(5)x+2+8

Conclusion:

Hence, the transformed function is: y=0.5(5)x+2+8 .

c.

To determine

To write the function according to the given transformation

c.

Expert Solution
Check Mark

Answer to Problem 66HP

   y=2 (5) x2

Explanation of Solution

The parent function:

We have, y=f(x)=5x

Now, taking reflection about x- axis, which means,

  y=f(x)=5x

Again, vertically compressing the obtained function by a factor of 2

  y=2f(x)=2(5)x

Now, shifting the obtained function to right by 2 units, which means,

  y=2f(x2)=2(5)x2

Conclusion:

Hence the transformed function is: y=2(5)x2 .

d.

To determine

To write the function according to the given transformation

d.

Expert Solution
Check Mark

Answer to Problem 66HP

  y=5(5)x28

Explanation of Solution

The parent function: f(x)=5x

We have, y=f(x)=5x

Now, horizontally compressing the parent function by a factor of 5, which means,

  y=5f(x)=5(5)x

Again, translating the obtained function to the right, which means,

  y=5f(x2)=5(5)x2

Again, translating the obtained function to the down, which means,

  y=5f(x2)8=5(5)x28

Conclusion:

Hence, the transformed function is: y=5(5)x28 .

Chapter 7 Solutions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Ch. 7.1 - Prob. 1CYUCh. 7.1 - Prob. 2CYUCh. 7.1 - Prob. 3CYUCh. 7.1 - Prob. 4CYUCh. 7.1 - Prob. 5CYUCh. 7.1 - Prob. 6CYUCh. 7.1 - Prob. 7CYUCh. 7.1 - Prob. 8CYUCh. 7.1 - Prob. 9CYUCh. 7.1 - Prob. 10CYUCh. 7.1 - Prob. 11CYUCh. 7.1 - Prob. 12CYUCh. 7.1 - Prob. 13CYUCh. 7.1 - Prob. 14CYUCh. 7.1 - Prob. 15CYUCh. 7.1 - Prob. 16CYUCh. 7.1 - Prob. 17CYUCh. 7.1 - Prob. 18CYUCh. 7.1 - Prob. 19CYUCh. 7.1 - Prob. 20CYUCh. 7.1 - Prob. 21PPSCh. 7.1 - Prob. 22PPSCh. 7.1 - Prob. 23PPSCh. 7.1 - Prob. 24PPSCh. 7.1 - Prob. 25PPSCh. 7.1 - Prob. 26PPSCh. 7.1 - Prob. 27PPSCh. 7.1 - Prob. 28PPSCh. 7.1 - Prob. 29PPSCh. 7.1 - Prob. 30PPSCh. 7.1 - Prob. 31PPSCh. 7.1 - Prob. 32PPSCh. 7.1 - Prob. 33PPSCh. 7.1 - Prob. 34PPSCh. 7.1 - Prob. 35PPSCh. 7.1 - Prob. 36PPSCh. 7.1 - Prob. 37PPSCh. 7.1 - Prob. 38PPSCh. 7.1 - Prob. 39PPSCh. 7.1 - Prob. 40PPSCh. 7.1 - Prob. 41PPSCh. 7.1 - Prob. 42PPSCh. 7.1 - Prob. 43PPSCh. 7.1 - Prob. 44PPSCh. 7.1 - Prob. 45PPSCh. 7.1 - Prob. 46PPSCh. 7.1 - Prob. 47PPSCh. 7.1 - Prob. 48PPSCh. 7.1 - 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Prob. 3GPCh. 7.5 - Prob. 4GPCh. 7.5 - Prob. 1CYUCh. 7.5 - Prob. 2CYUCh. 7.5 - Prob. 3CYUCh. 7.5 - Prob. 4CYUCh. 7.5 - Prob. 5CYUCh. 7.5 - Prob. 6CYUCh. 7.5 - Prob. 7CYUCh. 7.5 - Prob. 8CYUCh. 7.5 - Prob. 9CYUCh. 7.5 - Prob. 10PPSCh. 7.5 - Prob. 11PPSCh. 7.5 - Prob. 12PPSCh. 7.5 - Prob. 13PPSCh. 7.5 - Prob. 14PPSCh. 7.5 - Prob. 15PPSCh. 7.5 - Prob. 16PPSCh. 7.5 - Prob. 17PPSCh. 7.5 - Prob. 18PPSCh. 7.5 - Prob. 19PPSCh. 7.5 - Prob. 20PPSCh. 7.5 - Prob. 21PPSCh. 7.5 - Prob. 22PPSCh. 7.5 - Prob. 23PPSCh. 7.5 - Prob. 24PPSCh. 7.5 - Prob. 25PPSCh. 7.5 - Prob. 26PPSCh. 7.5 - Prob. 27PPSCh. 7.5 - Prob. 28PPSCh. 7.5 - Prob. 29PPSCh. 7.5 - Prob. 30PPSCh. 7.5 - Prob. 31PPSCh. 7.5 - Prob. 32PPSCh. 7.5 - Prob. 33PPSCh. 7.5 - Prob. 34PPSCh. 7.5 - Prob. 35PPSCh. 7.5 - Prob. 36PPSCh. 7.5 - Prob. 37PPSCh. 7.5 - Prob. 38PPSCh. 7.5 - Prob. 39PPSCh. 7.5 - Prob. 40PPSCh. 7.5 - Prob. 41HPCh. 7.5 - Prob. 42HPCh. 7.5 - Prob. 43HPCh. 7.5 - Prob. 44HPCh. 7.5 - Prob. 45HPCh. 7.5 - Prob. 46PFACh. 7.5 - Prob. 47PFACh. 7.5 - 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Prob. 4CYUCh. 7.7 - Prob. 5CYUCh. 7.7 - Prob. 6CYUCh. 7.7 - Prob. 7CYUCh. 7.7 - Prob. 8CYUCh. 7.7 - Prob. 9PPSCh. 7.7 - Prob. 10PPSCh. 7.7 - Prob. 11PPSCh. 7.7 - Prob. 12PPSCh. 7.7 - Prob. 13PPSCh. 7.7 - Prob. 14PPSCh. 7.7 - Prob. 15PPSCh. 7.7 - Prob. 16PPSCh. 7.7 - Prob. 17PPSCh. 7.7 - Prob. 18PPSCh. 7.7 - Prob. 19PPSCh. 7.7 - Prob. 20PPSCh. 7.7 - Prob. 21PPSCh. 7.7 - Prob. 22PPSCh. 7.7 - Prob. 23PPSCh. 7.7 - Prob. 24PPSCh. 7.7 - Prob. 25PPSCh. 7.7 - Prob. 26PPSCh. 7.7 - Prob. 27PPSCh. 7.7 - Prob. 28PPSCh. 7.7 - Prob. 29PPSCh. 7.7 - Prob. 30HPCh. 7.7 - Prob. 31HPCh. 7.7 - Prob. 32HPCh. 7.7 - Prob. 33HPCh. 7.7 - Prob. 34HPCh. 7.7 - Prob. 35PFACh. 7.7 - Prob. 36PFACh. 7.7 - Prob. 37PFACh. 7.7 - Prob. 38PFACh. 7.7 - Prob. 39PFACh. 7.7 - Prob. 40PFACh. 7.7 - Prob. 41PFACh. 7.7 - Prob. 42PFACh. 7.8 - Prob. 1GPCh. 7.8 - Prob. 2GPCh. 7.8 - Prob. 1CYUCh. 7.8 - Prob. 2CYUCh. 7.8 - Prob. 3PPSCh. 7.8 - Prob. 4PPSCh. 7.8 - Prob. 5PPSCh. 7.8 - Prob. 6PPSCh. 7.8 - Prob. 7PPSCh. 7.8 - Prob. 8HPCh. 7.8 - Prob. 9HPCh. 7.8 - Prob. 10HPCh. 7.8 - Prob. 11HPCh. 7.8 - Prob. 12PFACh. 7.8 - Prob. 13PFACh. 7.8 - Prob. 14PFACh. 7.8 - Prob. 15PFACh. 7.8 - Prob. 16PFACh. 7.8 - Prob. 17PFACh. 7.8 - Prob. 18PFACh. 7.9 - Prob. 1AGPCh. 7.9 - Prob. 1BGPCh. 7.9 - Prob. 1CGPCh. 7.9 - Prob. 2AGPCh. 7.9 - Prob. 2BGPCh. 7.9 - Prob. 3GPCh. 7.9 - Prob. 4GPCh. 7.9 - Prob. 1CYUCh. 7.9 - Prob. 2CYUCh. 7.9 - Prob. 3CYUCh. 7.9 - Prob. 4CYUCh. 7.9 - Prob. 5CYUCh. 7.9 - Prob. 6CYUCh. 7.9 - Prob. 7CYUCh. 7.9 - Prob. 8CYUCh. 7.9 - Prob. 9CYUCh. 7.9 - Prob. 10CYUCh. 7.9 - Prob. 11CYUCh. 7.9 - Prob. 12CYUCh. 7.9 - Prob. 13CYUCh. 7.9 - Prob. 14PPSCh. 7.9 - Prob. 15PPSCh. 7.9 - Prob. 16PPSCh. 7.9 - Prob. 17PPSCh. 7.9 - Prob. 18PPSCh. 7.9 - Prob. 19PPSCh. 7.9 - Prob. 20PPSCh. 7.9 - Prob. 21PPSCh. 7.9 - Prob. 22PPSCh. 7.9 - Prob. 23PPSCh. 7.9 - Prob. 24PPSCh. 7.9 - Prob. 25PPSCh. 7.9 - Prob. 26PPSCh. 7.9 - Prob. 27PPSCh. 7.9 - Prob. 28PPSCh. 7.9 - Prob. 29PPSCh. 7.9 - Prob. 30PPSCh. 7.9 - Prob. 31PPSCh. 7.9 - Prob. 32PPSCh. 7.9 - Prob. 33PPSCh. 7.9 - Prob. 34PPSCh. 7.9 - Prob. 35PPSCh. 7.9 - Prob. 36PPSCh. 7.9 - Prob. 37PPSCh. 7.9 - Prob. 38HPCh. 7.9 - Prob. 39HPCh. 7.9 - Prob. 40HPCh. 7.9 - Prob. 41HPCh. 7.9 - Prob. 42HPCh. 7.9 - Prob. 43PFACh. 7.9 - Prob. 44PFACh. 7.9 - Prob. 45PFACh. 7.9 - Prob. 46PFACh. 7.9 - Prob. 47PFACh. 7.9 - Prob. 48PFACh. 7.9 - Prob. 49PFACh. 7.10 - Prob. 1AGPCh. 7.10 - Prob. 1BGPCh. 7.10 - Prob. 2GPCh. 7.10 - Prob. 3GPCh. 7.10 - Prob. 4AGPCh. 7.10 - Prob. 4BGPCh. 7.10 - Prob. 1CYUCh. 7.10 - Prob. 2CYUCh. 7.10 - Prob. 3CYUCh. 7.10 - Prob. 4CYUCh. 7.10 - Prob. 5CYUCh. 7.10 - Prob. 6CYUCh. 7.10 - Prob. 7CYUCh. 7.10 - Prob. 8CYUCh. 7.10 - Prob. 9CYUCh. 7.10 - Prob. 10PPSCh. 7.10 - Prob. 11PPSCh. 7.10 - Prob. 12PPSCh. 7.10 - Prob. 13PPSCh. 7.10 - Prob. 14PPSCh. 7.10 - Prob. 15PPSCh. 7.10 - Prob. 16PPSCh. 7.10 - Prob. 17PPSCh. 7.10 - Prob. 18PPSCh. 7.10 - Prob. 19PPSCh. 7.10 - Prob. 20PPSCh. 7.10 - Prob. 21PPSCh. 7.10 - Prob. 22PPSCh. 7.10 - Prob. 23PPSCh. 7.10 - Prob. 24PPSCh. 7.10 - Prob. 25PPSCh. 7.10 - Prob. 26PPSCh. 7.10 - Prob. 27PPSCh. 7.10 - Prob. 28PPSCh. 7.10 - Prob. 29PPSCh. 7.10 - Prob. 30PPSCh. 7.10 - Prob. 31HPCh. 7.10 - Prob. 32HPCh. 7.10 - Prob. 33HPCh. 7.10 - Prob. 34HPCh. 7.10 - Prob. 35HPCh. 7.10 - Prob. 36PFACh. 7.10 - Prob. 37PFACh. 7.10 - Prob. 38PFACh. 7.10 - Prob. 39PFACh. 7.10 - Prob. 40PFACh. 7 - Prob. 1MCQCh. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 4MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 6MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 10MCQCh. 7 - Prob. 11MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - Prob. 15MCQCh. 7 - Prob. 16MCQCh. 7 - Prob. 17MCQCh. 7 - Prob. 18MCQCh. 7 - Prob. 19MCQCh. 7 - Prob. 20MCQCh. 7 - Prob. 21MCQCh. 7 - Prob. 22MCQCh. 7 - Prob. 23MCQCh. 7 - Prob. 24MCQCh. 7 - Prob. 25MCQCh. 7 - Prob. 26MCQCh. 7 - Prob. 27MCQCh. 7 - Prob. 1SGRCh. 7 - Prob. 2SGRCh. 7 - Prob. 3SGRCh. 7 - Prob. 4SGRCh. 7 - Prob. 5SGRCh. 7 - Prob. 6SGRCh. 7 - Prob. 7SGRCh. 7 - Prob. 8SGRCh. 7 - Prob. 9SGRCh. 7 - Prob. 10SGRCh. 7 - Prob. 11SGRCh. 7 - Prob. 12SGRCh. 7 - Prob. 13SGRCh. 7 - Prob. 14SGRCh. 7 - Prob. 15SGRCh. 7 - Prob. 16SGRCh. 7 - Prob. 17SGRCh. 7 - Prob. 18SGRCh. 7 - Prob. 19SGRCh. 7 - Prob. 20SGRCh. 7 - Prob. 21SGRCh. 7 - Prob. 22SGRCh. 7 - Prob. 23SGRCh. 7 - Prob. 24SGRCh. 7 - Prob. 25SGRCh. 7 - Prob. 26SGRCh. 7 - Prob. 27SGRCh. 7 - Prob. 28SGRCh. 7 - Prob. 29SGRCh. 7 - Prob. 30SGRCh. 7 - Prob. 31SGRCh. 7 - Prob. 32SGRCh. 7 - Prob. 33SGRCh. 7 - Prob. 34SGRCh. 7 - Prob. 35SGRCh. 7 - Prob. 36SGRCh. 7 - Prob. 37SGRCh. 7 - Prob. 38SGRCh. 7 - Prob. 39SGRCh. 7 - Prob. 40SGRCh. 7 - Prob. 41SGRCh. 7 - Prob. 42SGRCh. 7 - Prob. 43SGRCh. 7 - Prob. 44SGRCh. 7 - Prob. 45SGRCh. 7 - Prob. 46SGRCh. 7 - Prob. 47SGRCh. 7 - Prob. 48SGRCh. 7 - Prob. 49SGRCh. 7 - Prob. 50SGRCh. 7 - Prob. 51SGRCh. 7 - Prob. 52SGRCh. 7 - Prob. 53SGRCh. 7 - Prob. 54SGRCh. 7 - Prob. 55SGRCh. 7 - Prob. 56SGRCh. 7 - Prob. 57SGRCh. 7 - Prob. 58SGRCh. 7 - Prob. 59SGRCh. 7 - Prob. 60SGRCh. 7 - Prob. 61SGRCh. 7 - Prob. 62SGRCh. 7 - Prob. 63SGRCh. 7 - Prob. 64SGRCh. 7 - Prob. 65SGRCh. 7 - Prob. 66SGRCh. 7 - Prob. 67SGRCh. 7 - Prob. 68SGRCh. 7 - Prob. 69SGRCh. 7 - Prob. 70SGRCh. 7 - Prob. 71SGRCh. 7 - Prob. 72SGRCh. 7 - Prob. 73SGRCh. 7 - Prob. 74SGRCh. 7 - Prob. 75SGRCh. 7 - Prob. 76SGRCh. 7 - Prob. 77SGRCh. 7 - Prob. 78SGRCh. 7 - Prob. 79SGRCh. 7 - Prob. 80SGRCh. 7 - Prob. 81SGRCh. 7 - Prob. 1PTCh. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PTCh. 7 - Prob. 10PTCh. 7 - Prob. 11PTCh. 7 - Prob. 12PTCh. 7 - Prob. 13PTCh. 7 - Prob. 14PTCh. 7 - Prob. 15PTCh. 7 - Prob. 16PTCh. 7 - Prob. 17PTCh. 7 - Prob. 18PTCh. 7 - Prob. 19PTCh. 7 - Prob. 20PTCh. 7 - Prob. 21PTCh. 7 - Prob. 22PTCh. 7 - Prob. 23PTCh. 7 - Prob. 24PTCh. 7 - Prob. 25PTCh. 7 - Prob. 26PTCh. 7 - Prob. 27PTCh. 7 - Prob. 28PTCh. 7 - Prob. 29PTCh. 7 - Prob. 30PTCh. 7 - Prob. 31PTCh. 7 - Prob. 32PTCh. 7 - Prob. 33PTCh. 7 - Prob. 34PTCh. 7 - Prob. 35PTCh. 7 - Prob. 36PTCh. 7 - Prob. 37PTCh. 7 - Prob. 1PFACh. 7 - Prob. 2PFACh. 7 - Prob. 3PFACh. 7 - Prob. 4PFACh. 7 - Prob. 5PFACh. 7 - Prob. 6PFACh. 7 - Prob. 7PFACh. 7 - Prob. 8PFACh. 7 - Prob. 9PFACh. 7 - Prob. 10PFACh. 7 - Prob. 11PFACh. 7 - Prob. 12PFACh. 7 - Prob. 13PFACh. 7 - Prob. 14PFACh. 7 - Prob. 15PFA
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