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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Chapter 9.2, Problem 17PPS
To determine

To graph and describe the translation of the function g(x) in relation to the graph of f(x)=x2 .

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information :

The function that is provided: h(x)=1.35(x+1)2+2.6

Graph :

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 9.2, Problem 17PPS

Interpretation :

The graph of quadratic function f(x) when multiplied by a positive constant a , the resulting graph af(x) is a vertical dilation of f(x) . The function is stretched or compressed vertically by a factor of |a| .

If |a| >1 , the graph of f(x) is stretched vertically, that is, all points on the graph f(x) move farther away from the x -axis.

If |a|<1 , the graph of f(x) is compressed vertically, that is, all points on the graph f(x) move closer to the x -axis.

In the function h(x)=1.35(x+1)2+2.6 , the value of |a|>1 at a=1.35 . Thus, the transformation of f(x) when multiplied by a , as seen in the graph, is that it is stretched vertically by a factor of 1.35 .

The graph represented by g(x)=(xh)2 is equivalent to the graph of f(x)=x2 that has been translated horizontally. The direction of translation or movement of the graph is dependent on the value of h .

If h>0 , the graph of f(x)=x2 is translated |h| units to the right.

If h<0 , the graph of f(x)=x2 is translated |h| units to the left.

In the function h(x)=1.35(x+1)2+2.6 , the value of h<0 at h=1 . Therefore, the translation of the function with respect to the graph of f(x)=x2 , as seen in the graph shown above, is 1 unit to the left.

The graph represented by g(x)=x2+k is equivalent to the graph of f(x)=x2 that has been translated vertically. The direction of translation or movement of the graph is dependent on the value of k .

If k>0 , the graph of f(x)=x2 is translated |k| units upwards.

If k<0 , the graph of f(x)=x2 is translated |k| units downwards.

In the function h(x)=1.35(x+1)2+2.6 , the value of k>0 at k=2.6 . Therefore, the translation of the function with respect to the graph of f(x)=x2 , as seen in the graph shown above, can be described as an upward translation by 2.6 units.

Therefore, as seen in the graph, the transformation of the function with respect to the graph of f(x)=x2 is the horizontal translation 1 units to the left, vertically stretched by a factor of 1.35 and a vertical translation upwards by 2.6 units.

Chapter 9 Solutions

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

Ch. 9.1 - Prob. 6GPCh. 9.1 - Prob. 1CYUCh. 9.1 - Prob. 2CYUCh. 9.1 - Prob. 3CYUCh. 9.1 - Prob. 4CYUCh. 9.1 - Prob. 5CYUCh. 9.1 - Prob. 6CYUCh. 9.1 - Prob. 7CYUCh. 9.1 - Prob. 8CYUCh. 9.1 - Prob. 9CYUCh. 9.1 - Prob. 10CYUCh. 9.1 - Prob. 11CYUCh. 9.1 - Prob. 12CYUCh. 9.1 - Prob. 13CYUCh. 9.1 - Prob. 14CYUCh. 9.1 - Prob. 15CYUCh. 9.1 - Prob. 16CYUCh. 9.1 - Prob. 17CYUCh. 9.1 - Prob. 18CYUCh. 9.1 - Prob. 19CYUCh. 9.1 - Prob. 20CYUCh. 9.1 - Prob. 21CYUCh. 9.1 - Prob. 22PPSCh. 9.1 - Prob. 23PPSCh. 9.1 - Prob. 24PPSCh. 9.1 - Prob. 25PPSCh. 9.1 - Prob. 26PPSCh. 9.1 - Prob. 27PPSCh. 9.1 - Prob. 28PPSCh. 9.1 - Prob. 29PPSCh. 9.1 - Prob. 30PPSCh. 9.1 - Prob. 31PPSCh. 9.1 - Prob. 32PPSCh. 9.1 - Prob. 33PPSCh. 9.1 - Prob. 34PPSCh. 9.1 - Prob. 35PPSCh. 9.1 - Prob. 36PPSCh. 9.1 - Prob. 37PPSCh. 9.1 - Prob. 38PPSCh. 9.1 - Prob. 39PPSCh. 9.1 - Prob. 40PPSCh. 9.1 - Prob. 41PPSCh. 9.1 - Prob. 42PPSCh. 9.1 - Prob. 43PPSCh. 9.1 - Prob. 44PPSCh. 9.1 - Prob. 45PPSCh. 9.1 - Prob. 46PPSCh. 9.1 - Prob. 47PPSCh. 9.1 - 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Prob. 8BGPCh. 9.2 - Prob. 8CGPCh. 9.2 - Prob. 1CYUCh. 9.2 - Prob. 2CYUCh. 9.2 - Prob. 3CYUCh. 9.2 - Prob. 4CYUCh. 9.2 - Prob. 5CYUCh. 9.2 - Prob. 6CYUCh. 9.2 - Prob. 7CYUCh. 9.2 - Prob. 8CYUCh. 9.2 - Prob. 9CYUCh. 9.2 - Prob. 10PPSCh. 9.2 - Prob. 11PPSCh. 9.2 - Prob. 12PPSCh. 9.2 - Prob. 13PPSCh. 9.2 - Prob. 14PPSCh. 9.2 - Prob. 15PPSCh. 9.2 - Prob. 16PPSCh. 9.2 - Prob. 17PPSCh. 9.2 - Prob. 18PPSCh. 9.2 - Prob. 19PPSCh. 9.2 - Prob. 20PPSCh. 9.2 - Prob. 21PPSCh. 9.2 - Prob. 22PPSCh. 9.2 - Prob. 23PPSCh. 9.2 - Prob. 24PPSCh. 9.2 - Prob. 25PPSCh. 9.2 - Prob. 26PPSCh. 9.2 - Prob. 27PPSCh. 9.2 - Prob. 28PPSCh. 9.2 - Prob. 29PPSCh. 9.2 - Prob. 30PPSCh. 9.2 - Prob. 31PPSCh. 9.2 - Prob. 32PPSCh. 9.2 - Prob. 33PPSCh. 9.2 - Prob. 34PPSCh. 9.2 - Prob. 35PPSCh. 9.2 - Prob. 36PPSCh. 9.2 - Prob. 37PPSCh. 9.2 - Prob. 38PPSCh. 9.2 - Prob. 39PPSCh. 9.2 - Prob. 40PPSCh. 9.2 - Prob. 41PPSCh. 9.2 - Prob. 42HPCh. 9.2 - Prob. 43HPCh. 9.2 - Prob. 44HPCh. 9.2 - Prob. 45HPCh. 9.2 - Prob. 46HPCh. 9.2 - Prob. 47PFACh. 9.2 - Prob. 48PFACh. 9.2 - Prob. 49PFACh. 9.2 - Prob. 50PFACh. 9.2 - Prob. 51PFACh. 9.3 - Prob. 1AGPCh. 9.3 - Prob. 1BGPCh. 9.3 - Prob. 2AGPCh. 9.3 - Prob. 2BGPCh. 9.3 - Prob. 3AGPCh. 9.3 - Prob. 3BGPCh. 9.3 - Prob. 5GPCh. 9.3 - Prob. 6GPCh. 9.3 - Prob. 1CYUCh. 9.3 - Prob. 2CYUCh. 9.3 - Prob. 3CYUCh. 9.3 - Prob. 4CYUCh. 9.3 - Prob. 5CYUCh. 9.3 - Prob. 6CYUCh. 9.3 - Prob. 7CYUCh. 9.3 - Prob. 8CYUCh. 9.3 - Prob. 9CYUCh. 9.3 - Prob. 10PPSCh. 9.3 - Prob. 11PPSCh. 9.3 - Prob. 12PPSCh. 9.3 - Prob. 13PPSCh. 9.3 - Prob. 14PPSCh. 9.3 - Prob. 15PPSCh. 9.3 - Prob. 16PPSCh. 9.3 - Prob. 17PPSCh. 9.3 - Prob. 18PPSCh. 9.3 - Prob. 19PPSCh. 9.3 - Prob. 20PPSCh. 9.3 - Prob. 21PPSCh. 9.3 - Prob. 22PPSCh. 9.3 - Prob. 23PPSCh. 9.3 - Prob. 24PPSCh. 9.3 - Prob. 25PPSCh. 9.3 - Prob. 26PPSCh. 9.3 - Prob. 27PPSCh. 9.3 - Prob. 28PPSCh. 9.3 - Prob. 29PPSCh. 9.3 - Prob. 30PPSCh. 9.3 - Prob. 31PPSCh. 9.3 - Prob. 32PPSCh. 9.3 - Prob. 33PPSCh. 9.3 - Prob. 34PPSCh. 9.3 - Prob. 35PPSCh. 9.3 - Prob. 36PPSCh. 9.3 - Prob. 37PPSCh. 9.3 - 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Prob. 5GPCh. 9.5 - Prob. 1CYUCh. 9.5 - Prob. 2CYUCh. 9.5 - Prob. 3CYUCh. 9.5 - Prob. 4CYUCh. 9.5 - Prob. 5CYUCh. 9.5 - Prob. 6CYUCh. 9.5 - Prob. 7CYUCh. 9.5 - Prob. 8CYUCh. 9.5 - Prob. 9CYUCh. 9.5 - Prob. 10CYUCh. 9.5 - Prob. 11CYUCh. 9.5 - Prob. 12CYUCh. 9.5 - Prob. 13PPSCh. 9.5 - Prob. 14PPSCh. 9.5 - Prob. 15PPSCh. 9.5 - Prob. 16PPSCh. 9.5 - Prob. 17PPSCh. 9.5 - Prob. 18PPSCh. 9.5 - Prob. 19PPSCh. 9.5 - Prob. 20PPSCh. 9.5 - Prob. 21PPSCh. 9.5 - Prob. 22PPSCh. 9.5 - Prob. 23PPSCh. 9.5 - Prob. 24PPSCh. 9.5 - Prob. 25PPSCh. 9.5 - Prob. 26PPSCh. 9.5 - Prob. 27PPSCh. 9.5 - Prob. 28PPSCh. 9.5 - Prob. 29PPSCh. 9.5 - Prob. 30PPSCh. 9.5 - Prob. 31PPSCh. 9.5 - Prob. 32PPSCh. 9.5 - Prob. 33PPSCh. 9.5 - Prob. 34PPSCh. 9.5 - Prob. 35PPSCh. 9.5 - Prob. 36PPSCh. 9.5 - Prob. 37PPSCh. 9.5 - Prob. 38PPSCh. 9.5 - Prob. 39PPSCh. 9.5 - Prob. 40PPSCh. 9.5 - Prob. 41PPSCh. 9.5 - Prob. 42HPCh. 9.5 - Prob. 43HPCh. 9.5 - Prob. 44HPCh. 9.5 - Prob. 45HPCh. 9.5 - Prob. 46PFACh. 9.5 - Prob. 47PFACh. 9.5 - Prob. 48PFACh. 9.5 - Prob. 49PFACh. 9.5 - Prob. 50PFACh. 9.5 - Prob. 51PFACh. 9.5 - Prob. 52PFACh. 9.5 - Prob. 53PFACh. 9.6 - Prob. 1AGPCh. 9.6 - Prob. 1BGPCh. 9.6 - Prob. 1CGPCh. 9.6 - Prob. 1DGPCh. 9.6 - Prob. 2AGPCh. 9.6 - Prob. 2BGPCh. 9.6 - Prob. 3AGPCh. 9.6 - Prob. 3BGPCh. 9.6 - Prob. 4AGPCh. 9.6 - Prob. 4BGPCh. 9.6 - Prob. 1CYUCh. 9.6 - Prob. 2CYUCh. 9.6 - Prob. 3CYUCh. 9.6 - Prob. 4CYUCh. 9.6 - Prob. 5CYUCh. 9.6 - Prob. 6CYUCh. 9.6 - Prob. 7CYUCh. 9.6 - Prob. 8CYUCh. 9.6 - Prob. 9CYUCh. 9.6 - Prob. 10CYUCh. 9.6 - Prob. 11CYUCh. 9.6 - Prob. 12CYUCh. 9.6 - Prob. 13CYUCh. 9.6 - Prob. 14CYUCh. 9.6 - Prob. 15CYUCh. 9.6 - Prob. 16PPSCh. 9.6 - Prob. 17PPSCh. 9.6 - Prob. 18PPSCh. 9.6 - Prob. 19PPSCh. 9.6 - Prob. 20PPSCh. 9.6 - Prob. 21PPSCh. 9.6 - Prob. 22PPSCh. 9.6 - Prob. 23PPSCh. 9.6 - Prob. 24PPSCh. 9.6 - Prob. 25PPSCh. 9.6 - Prob. 26PPSCh. 9.6 - Prob. 27PPSCh. 9.6 - Prob. 28PPSCh. 9.6 - Prob. 29PPSCh. 9.6 - Prob. 30PPSCh. 9.6 - Prob. 31PPSCh. 9.6 - Prob. 32PPSCh. 9.6 - Prob. 33PPSCh. 9.6 - Prob. 34PPSCh. 9.6 - Prob. 35PPSCh. 9.6 - Prob. 36PPSCh. 9.6 - Prob. 37PPSCh. 9.6 - Prob. 38PPSCh. 9.6 - Prob. 39PPSCh. 9.6 - Prob. 40PPSCh. 9.6 - Prob. 41PPSCh. 9.6 - Prob. 42PPSCh. 9.6 - Prob. 43PPSCh. 9.6 - Prob. 44PPSCh. 9.6 - Prob. 45PPSCh. 9.6 - Prob. 46PPSCh. 9.6 - Prob. 47PPSCh. 9.6 - Prob. 48PPSCh. 9.6 - Prob. 49PPSCh. 9.6 - Prob. 50PPSCh. 9.6 - Prob. 51HPCh. 9.6 - Prob. 52HPCh. 9.6 - Prob. 53HPCh. 9.6 - Prob. 54HPCh. 9.6 - Prob. 55HPCh. 9.6 - Prob. 56HPCh. 9.6 - Prob. 57HPCh. 9.6 - Prob. 58HPCh. 9.6 - Prob. 59PFACh. 9.6 - Prob. 60PFACh. 9.6 - Prob. 61PFACh. 9.6 - Prob. 62PFACh. 9.6 - Prob. 63PFACh. 9.6 - Prob. 64PFACh. 9.7 - Prob. 1GPCh. 9.7 - Prob. 2GPCh. 9.7 - Prob. 3GPCh. 9.7 - Prob. 4GPCh. 9.7 - Prob. 1CYUCh. 9.7 - Prob. 2CYUCh. 9.7 - Prob. 3CYUCh. 9.7 - Prob. 4CYUCh. 9.7 - Prob. 5CYUCh. 9.7 - Prob. 6CYUCh. 9.7 - Prob. 7CYUCh. 9.7 - Prob. 8CYUCh. 9.7 - Prob. 9CYUCh. 9.7 - Prob. 10PPSCh. 9.7 - Prob. 11PPSCh. 9.7 - Prob. 12PPSCh. 9.7 - Prob. 13PPSCh. 9.7 - Prob. 14PPSCh. 9.7 - Prob. 15PPSCh. 9.7 - 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Prob. 17PPSCh. 9.9 - Prob. 18PPSCh. 9.9 - Prob. 19PPSCh. 9.9 - Prob. 20PPSCh. 9.9 - Prob. 21PPSCh. 9.9 - Prob. 22PPSCh. 9.9 - Prob. 23PPSCh. 9.9 - Prob. 24PPSCh. 9.9 - Prob. 25PPSCh. 9.9 - Prob. 26PPSCh. 9.9 - Prob. 27PPSCh. 9.9 - Prob. 28PPSCh. 9.9 - Prob. 29PPSCh. 9.9 - Prob. 30PPSCh. 9.9 - Prob. 31PPSCh. 9.9 - Prob. 32PPSCh. 9.9 - Prob. 33PPSCh. 9.9 - Prob. 34PPSCh. 9.9 - Prob. 35PPSCh. 9.9 - Prob. 36PPSCh. 9.9 - Prob. 37PPSCh. 9.9 - Prob. 38PPSCh. 9.9 - Prob. 39PPSCh. 9.9 - Prob. 40PPSCh. 9.9 - Prob. 41PPSCh. 9.9 - Prob. 42PPSCh. 9.9 - Prob. 43PPSCh. 9.9 - Prob. 44PPSCh. 9.9 - Prob. 45PPSCh. 9.9 - Prob. 46PPSCh. 9.9 - Prob. 47PPSCh. 9.9 - Prob. 48HPCh. 9.9 - Prob. 49HPCh. 9.9 - Prob. 50HPCh. 9.9 - Prob. 51HPCh. 9.9 - Prob. 52HPCh. 9.9 - Prob. 53PFACh. 9.9 - Prob. 54PFACh. 9.9 - Prob. 55PFACh. 9.9 - Prob. 56PFACh. 9.9 - Prob. 57PFACh. 9.9 - Prob. 58PFACh. 9.9 - Prob. 59PFACh. 9 - Prob. 1MCQCh. 9 - Prob. 2MCQCh. 9 - Prob. 3MCQCh. 9 - Prob. 4MCQCh. 9 - Prob. 5MCQCh. 9 - Prob. 6MCQCh. 9 - Prob. 7MCQCh. 9 - Prob. 8MCQCh. 9 - Prob. 9MCQCh. 9 - Prob. 10MCQCh. 9 - Prob. 11MCQCh. 9 - Prob. 12MCQCh. 9 - Prob. 13MCQCh. 9 - Prob. 14MCQCh. 9 - Prob. 15MCQCh. 9 - Prob. 16MCQCh. 9 - Prob. 17MCQCh. 9 - Prob. 18MCQCh. 9 - Prob. 19MCQCh. 9 - Prob. 20MCQCh. 9 - Prob. 21MCQCh. 9 - Prob. 22MCQCh. 9 - Prob. 23MCQCh. 9 - Prob. 24MCQCh. 9 - Prob. 25MCQCh. 9 - Prob. 26MCQCh. 9 - Prob. 27MCQCh. 9 - Prob. 1SGRCh. 9 - Prob. 2SGRCh. 9 - Prob. 3SGRCh. 9 - Prob. 4SGRCh. 9 - Prob. 5SGRCh. 9 - Prob. 6SGRCh. 9 - Prob. 7SGRCh. 9 - Prob. 8SGRCh. 9 - Prob. 9SGRCh. 9 - Prob. 10SGRCh. 9 - Prob. 11SGRCh. 9 - Prob. 12SGRCh. 9 - Prob. 13SGRCh. 9 - Prob. 14SGRCh. 9 - Prob. 15SGRCh. 9 - Prob. 16SGRCh. 9 - Prob. 17SGRCh. 9 - Prob. 18SGRCh. 9 - Prob. 19SGRCh. 9 - Prob. 20SGRCh. 9 - Prob. 21SGRCh. 9 - Prob. 22SGRCh. 9 - Prob. 23SGRCh. 9 - Prob. 24SGRCh. 9 - Prob. 25SGRCh. 9 - Prob. 26SGRCh. 9 - Prob. 27SGRCh. 9 - Prob. 28SGRCh. 9 - Prob. 29SGRCh. 9 - Prob. 30SGRCh. 9 - Prob. 31SGRCh. 9 - Prob. 32SGRCh. 9 - Prob. 33SGRCh. 9 - Prob. 34SGRCh. 9 - Prob. 35SGRCh. 9 - Prob. 36SGRCh. 9 - Prob. 37SGRCh. 9 - Prob. 38SGRCh. 9 - Prob. 39SGRCh. 9 - Prob. 40SGRCh. 9 - Prob. 41SGRCh. 9 - Prob. 42SGRCh. 9 - Prob. 43SGRCh. 9 - Prob. 44SGRCh. 9 - Prob. 45SGRCh. 9 - Prob. 46SGRCh. 9 - Prob. 47SGRCh. 9 - Prob. 48SGRCh. 9 - Prob. 49SGRCh. 9 - Prob. 50SGRCh. 9 - Prob. 51SGRCh. 9 - Prob. 52SGRCh. 9 - Prob. 53SGRCh. 9 - Prob. 54SGRCh. 9 - Prob. 55SGRCh. 9 - Prob. 56SGRCh. 9 - Prob. 57SGRCh. 9 - Prob. 58SGRCh. 9 - Prob. 59SGRCh. 9 - Prob. 60SGRCh. 9 - Prob. 61SGRCh. 9 - Prob. 62SGRCh. 9 - Prob. 63SGRCh. 9 - Prob. 64SGRCh. 9 - Prob. 65SGRCh. 9 - Prob. 66SGRCh. 9 - Prob. 67SGRCh. 9 - Prob. 68SGRCh. 9 - Prob. 69SGRCh. 9 - Prob. 70SGRCh. 9 - Prob. 71SGRCh. 9 - Prob. 1PTCh. 9 - Prob. 2PTCh. 9 - Prob. 3PTCh. 9 - Prob. 4PTCh. 9 - Prob. 5PTCh. 9 - Prob. 6PTCh. 9 - Prob. 7PTCh. 9 - Prob. 8PTCh. 9 - Prob. 9PTCh. 9 - Prob. 10PTCh. 9 - Prob. 11PTCh. 9 - Prob. 12PTCh. 9 - Prob. 13PTCh. 9 - Prob. 14PTCh. 9 - Prob. 15PTCh. 9 - Prob. 16PTCh. 9 - Prob. 17PTCh. 9 - Prob. 18PTCh. 9 - Prob. 19PTCh. 9 - Prob. 20PTCh. 9 - Prob. 21PTCh. 9 - Prob. 22PTCh. 9 - Prob. 23PTCh. 9 - Prob. 24PTCh. 9 - Prob. 25PTCh. 9 - Prob. 26PTCh. 9 - Prob. 27PTCh. 9 - Prob. 28PTCh. 9 - Prob. 29PTCh. 9 - Prob. 1PFACh. 9 - Prob. 2PFACh. 9 - Prob. 3PFACh. 9 - Prob. 4PFACh. 9 - Prob. 5PFACh. 9 - Prob. 6PFACh. 9 - Prob. 7PFACh. 9 - Prob. 8PFACh. 9 - Prob. 9PFACh. 9 - Prob. 10PFACh. 9 - Prob. 11PFACh. 9 - Prob. 12PFACh. 9 - Prob. 13PFA
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