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High School Math Calculus EBK PRECALCULUS W/LIMITS

if the given statement is true or false.

if the given statement is true or false.

EBK PRECALCULUS W/LIMITS

EBK PRECALCULUS W/LIMITS

3rd Edition

ISBN: 9781285607160

Author: Larson

Publisher: CENGAGE CO

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Question

Chapter 1.7, Problem 74E

To determine

To find:if the given statement is true or false.

Expert Solution & Answer

Answer to Problem 74E

False

Explanation of Solution

Given:

The statement: “If the graph of the parent function $f(x)=x2$ is shifted six units to the right, three units up, and reflected in the x -axis, then the point $(−2,19)$ will lie on the graph of the transformation.”

Consider the function $f(x)=x2$ .

Shifting the function 6 units to the left, the new function is:

$g(x)=(x−6)2$

Now, shifting the above function 3 units up, the new function is:

$h(x)=(x−6)2+3$

Lastly reflecting the above function about the x -axis, the new function is:

$k(x)=−h(x)=−[( x−6)2+3]=−(x−6)2−3$

Now, the objective is to verify if the point $(−2,19)$ lie on the graph of this function or not.

Substitute $x=−2$ in the function $k(x)=−(x−6)2−3$ ,

$k(−2)=−(−2−6)2−3=−(−8)2−3=−64−3=−67$

Clearly, $k(−2)≠19$

So, the point $(−2,19)$ does not lie on the graph of the transformation.

Conclusion:

The statement is false.

Chapter 1.7, Problem 73E

Chapter 1.7, Problem 75E

Chapter 1 Solutions

EBK PRECALCULUS W/LIMITS

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Prob. 31E Ch. 1.8 - Prob. 32E Ch. 1.8 - Prob. 33E Ch. 1.8 - Prob. 34E Ch. 1.8 - Prob. 35E Ch. 1.8 - Prob. 36E Ch. 1.8 - Prob. 37E Ch. 1.8 - Prob. 38E Ch. 1.8 - Prob. 39E Ch. 1.8 - Prob. 40E Ch. 1.8 - Prob. 41E Ch. 1.8 - Prob. 42E Ch. 1.8 - Prob. 43E Ch. 1.8 - Prob. 44E Ch. 1.8 - Prob. 45E Ch. 1.8 - Prob. 46E Ch. 1.8 - Prob. 47E Ch. 1.8 - Prob. 48E Ch. 1.8 - Prob. 49E Ch. 1.8 - Prob. 50E Ch. 1.8 - Prob. 51E Ch. 1.8 - Prob. 52E Ch. 1.8 - Prob. 53E Ch. 1.8 - Prob. 54E Ch. 1.8 - Prob. 55E Ch. 1.8 - Prob. 56E Ch. 1.8 - Prob. 57E Ch. 1.8 - Prob. 58E Ch. 1.8 - Prob. 59E Ch. 1.8 - Prob. 60E Ch. 1.8 - Prob. 61E Ch. 1.8 - Prob. 62E Ch. 1.8 - Prob. 63E Ch. 1.8 - Prob. 64E Ch. 1.8 - Prob. 65E Ch. 1.8 - Prob. 66E Ch. 1.8 - Prob. 67E Ch. 1.8 - Prob. 68E Ch. 1.8 - Prob. 69E Ch. 1.8 - Prob. 70E Ch. 1.9 - Prob. 1E Ch. 1.9 - Prob. 2E Ch. 1.9 - Prob. 3E Ch. 1.9 - Prob. 4E Ch. 1.9 - Prob. 5E Ch. 1.9 - Prob. 6E Ch. 1.9 - Prob. 7E Ch. 1.9 - Prob. 8E Ch. 1.9 - Prob. 9E Ch. 1.9 - Prob. 10E Ch. 1.9 - Prob. 11E Ch. 1.9 - Prob. 12E Ch. 1.9 - Prob. 13E Ch. 1.9 - Prob. 14E Ch. 1.9 - Prob. 15E Ch. 1.9 - Prob. 16E Ch. 1.9 - Prob. 17E Ch. 1.9 - Prob. 18E Ch. 1.9 - Prob. 19E Ch. 1.9 - Prob. 20E Ch. 1.9 - Prob. 21E Ch. 1.9 - Prob. 22E Ch. 1.9 - Prob. 23E Ch. 1.9 - Prob. 24E Ch. 1.9 - Prob. 25E Ch. 1.9 - Prob. 26E Ch. 1.9 - Prob. 27E Ch. 1.9 - Prob. 28E Ch. 1.9 - Prob. 29E Ch. 1.9 - Prob. 30E Ch. 1.9 - Prob. 31E Ch. 1.9 - Prob. 32E Ch. 1.9 - Prob. 33E Ch. 1.9 - Prob. 34E Ch. 1.9 - Prob. 35E Ch. 1.9 - Prob. 36E Ch. 1.9 - Prob. 37E Ch. 1.9 - Prob. 38E Ch. 1.9 - Prob. 39E Ch. 1.9 - Prob. 40E Ch. 1.9 - Prob. 41E Ch. 1.9 - Prob. 42E Ch. 1.9 - Prob. 43E Ch. 1.9 - Prob. 44E Ch. 1.9 - Prob. 45E Ch. 1.9 - Prob. 46E Ch. 1.9 - Prob. 47E Ch. 1.9 - Prob. 48E Ch. 1.9 - Prob. 49E Ch. 1.9 - Prob. 50E Ch. 1.9 - Prob. 51E Ch. 1.9 - Prob. 52E Ch. 1.9 - Prob. 53E Ch. 1.9 - Prob. 54E Ch. 1.9 - Prob. 55E Ch. 1.9 - Prob. 56E Ch. 1.9 - Prob. 57E Ch. 1.9 - Prob. 58E Ch. 1.9 - Prob. 59E Ch. 1.9 - Prob. 60E Ch. 1.9 - Prob. 61E Ch. 1.9 - Prob. 62E Ch. 1.9 - Prob. 63E Ch. 1.9 - Prob. 64E Ch. 1.9 - Prob. 65E Ch. 1.9 - Prob. 66E Ch. 1.9 - Prob. 67E Ch. 1.9 - Prob. 68E Ch. 1.9 - Prob. 69E Ch. 1.9 - Prob. 70E Ch. 1.9 - Prob. 71E Ch. 1.9 - Prob. 72E Ch. 1.9 - Prob. 73E Ch. 1.9 - Prob. 74E Ch. 1.9 - Prob. 75E Ch. 1.9 - Prob. 76E Ch. 1.9 - Prob. 77E Ch. 1.9 - Prob. 78E Ch. 1.9 - Prob. 79E Ch. 1.9 - Prob. 80E Ch. 1.9 - Prob. 81E Ch. 1.9 - Prob. 82E Ch. 1.9 - Prob. 83E Ch. 1.9 - Prob. 84E Ch. 1.9 - Prob. 85E Ch. 1.9 - Prob. 86E Ch. 1.9 - Prob. 87E Ch. 1.9 - Prob. 88E Ch. 1.9 - Prob. 89E Ch. 1.9 - Prob. 90E Ch. 1.9 - Prob. 91E Ch. 1.9 - Prob. 92E Ch. 1.9 - Prob. 93E Ch. 1.9 - Prob. 94E Ch. 1.9 - Prob. 95E Ch. 1.9 - Prob. 96E Ch. 1.9 - Prob. 97E Ch. 1.9 - Prob. 98E Ch. 1.9 - Prob. 99E Ch. 1.9 - Prob. 100E Ch. 1.9 - Prob. 101E Ch. 1.9 - Prob. 102E Ch. 1.9 - Prob. 103E Ch. 1.9 - Prob. 104E Ch. 1.9 - Prob. 105E Ch. 1.9 - Prob. 106E Ch. 1.10 - Prob. 1E Ch. 1.10 - Prob. 2E Ch. 1.10 - Prob. 3E Ch. 1.10 - Prob. 4E Ch. 1.10 - Prob. 5E Ch. 1.10 - Prob. 6E Ch. 1.10 - Prob. 7E Ch. 1.10 - Prob. 8E Ch. 1.10 - Prob. 9E Ch. 1.10 - Prob. 10E Ch. 1.10 - Prob. 11E Ch. 1.10 - Prob. 12E Ch. 1.10 - Prob. 13E Ch. 1.10 - Prob. 14E Ch. 1.10 - Prob. 15E Ch. 1.10 - Prob. 16E Ch. 1.10 - Prob. 17E Ch. 1.10 - Prob. 18E Ch. 1.10 - Prob. 19E Ch. 1.10 - Prob. 20E Ch. 1.10 - Prob. 21E Ch. 1.10 - Prob. 22E Ch. 1.10 - Prob. 23E Ch. 1.10 - Prob. 24E Ch. 1.10 - Prob. 25E Ch. 1.10 - Prob. 26E Ch. 1.10 - Prob. 27E Ch. 1.10 - Prob. 28E Ch. 1.10 - Prob. 29E Ch. 1.10 - Prob. 30E Ch. 1.10 - Prob. 31E Ch. 1.10 - Prob. 32E Ch. 1.10 - Prob. 33E Ch. 1.10 - Prob. 34E Ch. 1.10 - Prob. 35E Ch. 1.10 - Prob. 36E Ch. 1.10 - Prob. 37E Ch. 1.10 - Prob. 38E Ch. 1.10 - Prob. 39E Ch. 1.10 - Prob. 40E Ch. 1.10 - Prob. 41E Ch. 1.10 - Prob. 42E Ch. 1.10 - Prob. 43E Ch. 1.10 - Prob. 44E Ch. 1.10 - Prob. 45E Ch. 1.10 - Prob. 46E Ch. 1.10 - Prob. 47E Ch. 1.10 - Prob. 48E Ch. 1.10 - Prob. 49E Ch. 1.10 - Prob. 50E Ch. 1.10 - Prob. 51E Ch. 1.10 - Prob. 52E Ch. 1.10 - Prob. 53E Ch. 1.10 - Prob. 54E Ch. 1.10 - Prob. 55E Ch. 1.10 - Prob. 56E Ch. 1.10 - Prob. 57E Ch. 1.10 - Prob. 58E Ch. 1.10 - Prob. 59E Ch. 1.10 - Prob. 60E Ch. 1.10 - Prob. 61E Ch. 1.10 - Prob. 62E Ch. 1.10 - Prob. 63E Ch. 1.10 - Prob. 64E Ch. 1.10 - Prob. 65E Ch. 1.10 - Prob. 66E Ch. 1.10 - Prob. 67E Ch. 1.10 - Prob. 68E Ch. 1.10 - Prob. 69E Ch. 1.10 - Prob. 70E Ch. 1.10 - Prob. 71E Ch. 1.10 - Prob. 72E Ch. 1.10 - Prob. 73E Ch. 1.10 - Prob. 74E Ch. 1.10 - Prob. 75E Ch. 1.10 - Prob. 76E Ch. 1.10 - Prob. 77E Ch. 1.10 - Prob. 78E Ch. 1.10 - Prob. 79E Ch. 1.10 - Prob. 80E Ch. 1 - Prob. 1RE Ch. 1 - Prob. 2RE Ch. 1 - Prob. 3RE Ch. 1 - Prob. 4RE Ch. 1 - Prob. 5RE Ch. 1 - Prob. 6RE Ch. 1 - Prob. 7RE Ch. 1 - Prob. 8RE Ch. 1 - Prob. 9RE Ch. 1 - Prob. 10RE Ch. 1 - Prob. 11RE Ch. 1 - Prob. 12RE Ch. 1 - Prob. 13RE Ch. 1 - Prob. 14RE Ch. 1 - Prob. 15RE Ch. 1 - Prob. 16RE Ch. 1 - Prob. 17RE Ch. 1 - Prob. 18RE Ch. 1 - Prob. 19RE Ch. 1 - Prob. 20RE Ch. 1 - Prob. 21RE Ch. 1 - Prob. 22RE Ch. 1 - Prob. 23RE Ch. 1 - Prob. 24RE Ch. 1 - Prob. 25RE Ch. 1 - Prob. 26RE Ch. 1 - Prob. 27RE Ch. 1 - Prob. 28RE Ch. 1 - Prob. 29RE Ch. 1 - Prob. 30RE Ch. 1 - Prob. 31RE Ch. 1 - Prob. 32RE Ch. 1 - Prob. 33RE Ch. 1 - Prob. 34RE Ch. 1 - Prob. 35RE Ch. 1 - Prob. 36RE Ch. 1 - Prob. 37RE Ch. 1 - Prob. 38RE Ch. 1 - Prob. 39RE Ch. 1 - Prob. 40RE Ch. 1 - Prob. 41RE Ch. 1 - Prob. 42RE Ch. 1 - Prob. 43RE Ch. 1 - Prob. 44RE Ch. 1 - Prob. 45RE Ch. 1 - Prob. 46RE Ch. 1 - Prob. 47RE Ch. 1 - Prob. 48RE Ch. 1 - Prob. 49RE Ch. 1 - Prob. 50RE Ch. 1 - Prob. 51RE Ch. 1 - Prob. 52RE Ch. 1 - Prob. 53RE Ch. 1 - Prob. 54RE Ch. 1 - Prob. 55RE Ch. 1 - Prob. 56RE Ch. 1 - Prob. 57RE Ch. 1 - Prob. 58RE Ch. 1 - Prob. 59RE Ch. 1 - Prob. 60RE Ch. 1 - Prob. 61RE Ch. 1 - Prob. 62RE Ch. 1 - Prob. 63RE Ch. 1 - Prob. 64RE Ch. 1 - Prob. 65RE Ch. 1 - Prob. 66RE Ch. 1 - Prob. 67RE Ch. 1 - Prob. 68RE Ch. 1 - Prob. 69RE Ch. 1 - Prob. 70RE Ch. 1 - Prob. 71RE Ch. 1 - Prob. 72RE Ch. 1 - Prob. 73RE Ch. 1 - Prob. 74RE Ch. 1 - Prob. 75RE Ch. 1 - Prob. 76RE Ch. 1 - Prob. 77RE Ch. 1 - Prob. 78RE Ch. 1 - Prob. 79RE Ch. 1 - Prob. 80RE Ch. 1 - Prob. 81RE Ch. 1 - Prob. 82RE Ch. 1 - Prob. 83RE Ch. 1 - Prob. 84RE Ch. 1 - Prob. 85RE Ch. 1 - Prob. 86RE Ch. 1 - Prob. 87RE Ch. 1 - Prob. 88RE Ch. 1 - Prob. 89RE Ch. 1 - Prob. 90RE Ch. 1 - Prob. 91RE Ch. 1 - Prob. 92RE Ch. 1 - Prob. 93RE Ch. 1 - Prob. 94RE Ch. 1 - Prob. 95RE Ch. 1 - Prob. 96RE Ch. 1 - Prob. 97RE Ch. 1 - Prob. 98RE Ch. 1 - Prob. 99RE Ch. 1 - Prob. 100RE Ch. 1 - Prob. 101RE Ch. 1 - Prob. 102RE Ch. 1 - Prob. 103RE Ch. 1 - Prob. 1CT Ch. 1 - Prob. 2CT Ch. 1 - Prob. 3CT Ch. 1 - Prob. 4CT Ch. 1 - Prob. 5CT Ch. 1 - Prob. 6CT Ch. 1 - Prob. 7CT Ch. 1 - Prob. 8CT Ch. 1 - Prob. 9CT Ch. 1 - Prob. 10CT Ch. 1 - Prob. 11CT Ch. 1 - Prob. 12CT Ch. 1 - Prob. 13CT Ch. 1 - Prob. 14CT Ch. 1 - Prob. 15CT Ch. 1 - Prob. 16CT Ch. 1 - Prob. 17CT Ch. 1 - Prob. 18CT Ch. 1 - Prob. 19CT Ch. 1 - Prob. 20CT Ch. 1 - Prob. 21CT Ch. 1 - Prob. 22CT Ch. 1 - Prob. 23CT Ch. 1 - Prob. 24CT Ch. 1 - Prob. 25CT Ch. 1 - Prob. 26CT Ch. 1 - Prob. 1PS Ch. 1 - Prob. 2PS Ch. 1 - Prob. 3PS Ch. 1 - Prob. 4PS Ch. 1 - Prob. 5PS Ch. 1 - Prob. 6PS Ch. 1 - Prob. 7PS Ch. 1 - Prob. 8PS Ch. 1 - Prob. 9PS Ch. 1 - Prob. 10PS Ch. 1 - Prob. 11PS Ch. 1 - Prob. 12PS Ch. 1 - Prob. 13PS Ch. 1 - Prob. 14PS Ch. 1 - Prob. 15PS

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