a. Answer The original graph is shifted upward by 2 units. Explanation Given: The original equation y 2 = 8 x and variation ( y − 2 ) 2 = 8 x . Calculation: Recall that the subtracting a number from y-value shift the graph upward. So, the equation ( y − 2 ) 2 = 8 x shifts the graph of the original equation upward by 2 units. b. To determine To find: The variation caused by the equation y 2 = 8 ( x + 1 ) in the original equation y 2 = 8 x . Answer y 2 = 8 ( x + 1 ) shifts the graph of the original equation to left by 1 unit. Explanation Given: The original equation y 2 = 8 x and variation y 2 = 8 ( x + 1 ) . Calculation: Recall that adding a positive number to x-value will shift the graph of the original function left by that unit. So, the equation y 2 = 8 ( x + 1 ) shifts the graph of the original equation to left by 1 unit. c. To determine To find: The variation caused by the equation y 2 = − 8 x in the original equation y 2 = 8 x . Answer The equation y 2 = − 8 x reflect the graph of the original equation about y-axis. Explanation Given: The original equation y 2 = 8 x and variation y 2 = − 8 x . Calculation: The equation y 2 = − 8 x can be seen as y 2 = 8 ( − x ) . That means, each x-value is being reflected about the y-axis. So, the equation y 2 = − 8 x reflect the graph of the original equation about y-axis. d. To determine To find: The variation caused by the equation y 2 = 4 x in the original equation y 2 = 8 x . Answer The equation y 2 = 4 x stretches the graph of the original function by 2 units. Explanation Given: The original equation y 2 = 8 x and variation y 2 = 4 x . Calculation: The equation y 2 = 4 x can be seen as y 2 = 8 ( 1 2 x ) . That means, each x-value is being divided by 2 which makes the graph of the original function to stretch vertically. So, the equation y 2 = 4 x stretches the graph of the original function by 2 units.

Precalculus with Limits: A Graphing Approach

7th Edition

ISBN: 9781305071711

Author: Ron Larson

Publisher: Brooks/Cole

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Question

Chapter 9, Problem 155RE

To determine

To find: The variation caused by the equation $(y−2)2=8x$ in the original equation $y2=8x$ .

Expert Solution

Answer to Problem 155RE

The original graph is shifted upward by 2 units.

Explanation of Solution

Given:

The original equation $y2=8x$ and variation $(y−2)2=8x$ .

Calculation:

Recall that the subtracting a number from y-value shift the graph upward. So, the equation $(y−2)2=8x$ shifts the graph of the original equation upward by 2 units.

To determine

To find: The variation caused by the equation $y2=8(x+1)$ in the original equation $y2=8x$ .

Expert Solution

Answer to Problem 155RE

$y2=8(x+1)$ shifts the graph of the original equation to left by 1 unit.

Explanation of Solution

Given:

The original equation $y2=8x$ and variation $y2=8(x+1)$ .

Calculation:

Recall that adding a positive number to x-value will shift the graph of the original function left by that unit.

So, the equation $y2=8(x+1)$ shifts the graph of the original equation to left by 1 unit.

To determine

To find: The variation caused by the equation $y2=−8x$ in the original equation $y2=8x$ .

Expert Solution

Answer to Problem 155RE

The equation $y2=−8x$ reflect the graph of the original equation about y-axis.

Explanation of Solution

Given:

The original equation $y2=8x$ and variation $y2=−8x$ .

Calculation:

The equation $y2=−8x$ can be seen as $y2=8(−x)$ . That means, each x-value is being reflected about the y-axis.

So, the equation $y2=−8x$ reflect the graph of the original equation about y-axis.

To determine

To find: The variation caused by the equation $y2=4x$ in the original equation $y2=8x$ .

Expert Solution

Answer to Problem 155RE

The equation $y2=4x$ stretches the graph of the original function by 2 units.

Explanation of Solution

Given:

The original equation $y2=8x$ and variation $y2=4x$ .

Calculation:

The equation $y2=4x$ can be seen as $y2=8(12x)$ . That means, each x-value is being divided by 2 which makes the graph of the original function to stretch vertically.

So, the equation $y2=4x$ stretches the graph of the original function by 2 units.

Chapter 9, Problem 154RE

Chapter 9, Problem 156RE

Chapter 9 Solutions

Precalculus with Limits: A Graphing Approach

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Prob. 44E Ch. 9.7 - Prob. 45E Ch. 9.7 - Prob. 46E Ch. 9.7 - Prob. 47E Ch. 9.7 - Prob. 48E Ch. 9.7 - Prob. 49E Ch. 9.7 - Prob. 50E Ch. 9.7 - Prob. 51E Ch. 9.7 - Prob. 52E Ch. 9.7 - Prob. 53E Ch. 9.7 - Prob. 54E Ch. 9.7 - Prob. 55E Ch. 9.7 - Prob. 56E Ch. 9.7 - Prob. 57E Ch. 9.7 - Prob. 58E Ch. 9.7 - Prob. 59E Ch. 9.7 - Prob. 60E Ch. 9.7 - Prob. 61E Ch. 9.7 - Prob. 62E Ch. 9.7 - Prob. 63E Ch. 9.7 - Prob. 64E Ch. 9.7 - Prob. 65E Ch. 9.7 - Prob. 66E Ch. 9.7 - Prob. 67E Ch. 9.7 - Prob. 68E Ch. 9.7 - Prob. 69E Ch. 9.7 - Prob. 70E Ch. 9.7 - Prob. 71E Ch. 9.7 - Prob. 72E Ch. 9.7 - Prob. 73E Ch. 9.7 - Prob. 74E Ch. 9.7 - Prob. 75E Ch. 9.7 - Prob. 76E Ch. 9.7 - Prob. 77E Ch. 9.7 - Prob. 78E Ch. 9.7 - Prob. 79E Ch. 9.7 - Prob. 80E Ch. 9.7 - Prob. 81E Ch. 9.7 - Prob. 82E Ch. 9.7 - Prob. 83E Ch. 9 - Prob. 1RE Ch. 9 - Prob. 2RE Ch. 9 - Prob. 3RE Ch. 9 - Prob. 4RE Ch. 9 - Prob. 5RE Ch. 9 - Prob. 6RE Ch. 9 - Prob. 7RE Ch. 9 - Prob. 8RE Ch. 9 - Prob. 9RE Ch. 9 - Prob. 10RE Ch. 9 - Prob. 11RE Ch. 9 - Prob. 12RE Ch. 9 - Prob. 13RE Ch. 9 - Prob. 14RE Ch. 9 - Prob. 15RE Ch. 9 - Prob. 16RE Ch. 9 - Prob. 17RE Ch. 9 - Prob. 18RE Ch. 9 - Prob. 19RE Ch. 9 - Prob. 20RE Ch. 9 - Prob. 21RE Ch. 9 - Prob. 22RE Ch. 9 - Prob. 23RE Ch. 9 - Prob. 24RE Ch. 9 - Prob. 25RE Ch. 9 - Prob. 26RE Ch. 9 - Prob. 27RE Ch. 9 - Prob. 28RE Ch. 9 - Prob. 29RE Ch. 9 - Prob. 30RE Ch. 9 - Prob. 31RE Ch. 9 - Prob. 32RE Ch. 9 - Prob. 33RE Ch. 9 - Prob. 34RE Ch. 9 - Prob. 35RE Ch. 9 - Prob. 36RE Ch. 9 - Prob. 37RE Ch. 9 - Prob. 38RE Ch. 9 - Prob. 39RE Ch. 9 - Prob. 40RE Ch. 9 - Prob. 41RE Ch. 9 - Prob. 42RE Ch. 9 - Prob. 43RE Ch. 9 - Prob. 44RE Ch. 9 - Prob. 45RE Ch. 9 - Prob. 46RE Ch. 9 - Prob. 47RE Ch. 9 - Prob. 48RE Ch. 9 - Prob. 49RE Ch. 9 - Prob. 50RE Ch. 9 - Prob. 51RE Ch. 9 - Prob. 52RE Ch. 9 - Prob. 53RE Ch. 9 - Prob. 54RE Ch. 9 - Prob. 55RE Ch. 9 - Prob. 56RE Ch. 9 - Prob. 57RE Ch. 9 - Prob. 58RE Ch. 9 - Prob. 59RE Ch. 9 - Prob. 60RE Ch. 9 - Prob. 61RE Ch. 9 - Prob. 62RE Ch. 9 - Prob. 63RE Ch. 9 - Prob. 64RE Ch. 9 - Prob. 65RE Ch. 9 - Prob. 66RE Ch. 9 - Prob. 67RE Ch. 9 - Prob. 68RE Ch. 9 - Prob. 69RE Ch. 9 - Prob. 70RE Ch. 9 - Prob. 71RE Ch. 9 - Prob. 72RE Ch. 9 - Prob. 73RE Ch. 9 - Prob. 74RE Ch. 9 - Prob. 75RE Ch. 9 - Prob. 76RE Ch. 9 - Prob. 77RE Ch. 9 - Prob. 78RE Ch. 9 - Prob. 79RE Ch. 9 - Prob. 80RE Ch. 9 - Prob. 81RE Ch. 9 - Prob. 82RE Ch. 9 - Prob. 83RE Ch. 9 - Prob. 84RE Ch. 9 - Prob. 85RE Ch. 9 - Prob. 86RE Ch. 9 - Prob. 87RE Ch. 9 - Prob. 88RE Ch. 9 - Prob. 89RE Ch. 9 - Prob. 90RE Ch. 9 - Prob. 91RE Ch. 9 - Prob. 92RE Ch. 9 - Prob. 93RE Ch. 9 - Prob. 94RE Ch. 9 - Prob. 95RE Ch. 9 - Prob. 96RE Ch. 9 - Prob. 97RE Ch. 9 - Prob. 98RE Ch. 9 - Prob. 99RE Ch. 9 - Prob. 100RE Ch. 9 - Prob. 101RE Ch. 9 - Prob. 102RE Ch. 9 - Prob. 103RE Ch. 9 - Prob. 104RE Ch. 9 - Prob. 105RE Ch. 9 - Prob. 106RE Ch. 9 - Prob. 107RE Ch. 9 - Prob. 108RE Ch. 9 - Prob. 109RE Ch. 9 - Prob. 110RE Ch. 9 - Prob. 111RE Ch. 9 - Prob. 112RE Ch. 9 - Prob. 113RE Ch. 9 - Prob. 114RE Ch. 9 - Prob. 115RE Ch. 9 - Prob. 116RE Ch. 9 - Prob. 117RE Ch. 9 - Prob. 118RE Ch. 9 - Prob. 119RE Ch. 9 - Prob. 120RE Ch. 9 - Prob. 121RE Ch. 9 - Prob. 122RE Ch. 9 - Prob. 123RE Ch. 9 - Prob. 124RE Ch. 9 - Prob. 125RE Ch. 9 - Prob. 126RE Ch. 9 - Prob. 127RE Ch. 9 - Prob. 128RE Ch. 9 - Prob. 129RE Ch. 9 - Prob. 130RE Ch. 9 - Prob. 131RE Ch. 9 - Prob. 132RE Ch. 9 - Prob. 133RE Ch. 9 - Prob. 134RE Ch. 9 - Prob. 135RE Ch. 9 - Prob. 136RE Ch. 9 - Prob. 137RE Ch. 9 - Prob. 138RE Ch. 9 - Prob. 139RE Ch. 9 - Prob. 140RE Ch. 9 - Prob. 141RE Ch. 9 - Prob. 142RE Ch. 9 - Prob. 143RE Ch. 9 - Prob. 144RE Ch. 9 - Prob. 145RE Ch. 9 - Prob. 146RE Ch. 9 - Prob. 147RE Ch. 9 - Prob. 148RE Ch. 9 - Prob. 149RE Ch. 9 - Prob. 150RE Ch. 9 - Prob. 151RE Ch. 9 - Prob. 152RE Ch. 9 - Prob. 153RE Ch. 9 - Prob. 154RE Ch. 9 - Prob. 155RE Ch. 9 - Prob. 156RE Ch. 9 - Prob. 157RE Ch. 9 - Prob. 158RE Ch. 9 - Prob. 1CT Ch. 9 - Prob. 2CT Ch. 9 - Prob. 3CT Ch. 9 - Prob. 4CT Ch. 9 - Prob. 5CT Ch. 9 - Prob. 6CT Ch. 9 - Prob. 7CT Ch. 9 - Prob. 8CT Ch. 9 - Prob. 9CT Ch. 9 - Prob. 10CT Ch. 9 - Prob. 11CT Ch. 9 - Prob. 12CT Ch. 9 - Prob. 13CT Ch. 9 - Prob. 14CT Ch. 9 - Prob. 15CT Ch. 9 - Prob. 16CT Ch. 9 - Prob. 17CT Ch. 9 - Prob. 18CT Ch. 9 - Prob. 19CT Ch. 9 - Prob. 20CT Ch. 9 - Prob. 21CT Ch. 9 - Prob. 22CT Ch. 9 - Prob. 23CT Ch. 9 - Prob. 24CT Ch. 9 - Prob. 25CT Ch. 9 - Prob. 1CLT Ch. 9 - Prob. 2CLT Ch. 9 - Prob. 3CLT Ch. 9 - Prob. 4CLT Ch. 9 - Prob. 5CLT Ch. 9 - Prob. 6CLT Ch. 9 - Prob. 7CLT Ch. 9 - Prob. 8CLT Ch. 9 - Prob. 9CLT Ch. 9 - Prob. 10CLT Ch. 9 - Prob. 11CLT Ch. 9 - Prob. 12CLT Ch. 9 - Prob. 13CLT Ch. 9 - Prob. 14CLT Ch. 9 - Prob. 15CLT Ch. 9 - Prob. 16CLT Ch. 9 - Prob. 17CLT Ch. 9 - Prob. 18CLT Ch. 9 - Prob. 19CLT Ch. 9 - Prob. 20CLT Ch. 9 - Prob. 21CLT Ch. 9 - Prob. 22CLT Ch. 9 - Prob. 23CLT Ch. 9 - Prob. 24CLT Ch. 9 - Prob. 25CLT Ch. 9 - Prob. 26CLT Ch. 9 - Prob. 27CLT Ch. 9 - Prob. 28CLT Ch. 9 - Prob. 29CLT Ch. 9 - Prob. 30CLT Ch. 9 - Prob. 31CLT Ch. 9 - Prob. 32CLT Ch. 9 - Prob. 33CLT Ch. 9 - Prob. 34CLT Ch. 9 - Prob. 35CLT Ch. 9 - Prob. 36CLT Ch. 9 - Prob. 37CLT Ch. 9 - Prob. 38CLT Ch. 9 - Prob. 39CLT Ch. 9 - Prob. 40CLT Ch. 9 - Prob. 41CLT Ch. 9 - Prob. 42CLT Ch. 9 - Prob. 43CLT Ch. 9 - Prob. 44CLT Ch. 9 - Prob. 45CLT Ch. 9 - Prob. 46CLT Ch. 9 - Prob. 47CLT Ch. 9 - Prob. 48CLT Ch. 9 - Prob. 49CLT Ch. 9 - Prob. 50CLT Ch. 9 - Prob. 51CLT Ch. 9 - Prob. 52CLT Ch. 9 - Prob. 53CLT Ch. 9 - Prob. 54CLT Ch. 9 - Prob. 55CLT

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