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alexdok [17]
3 years ago
14

Write the absolute value equation given the transformations

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0

Answer:

<em>y = - 0.5 | x - 5 | + 2</em><em> </em>

Step-by-step explanation:

g(x) = |x|

1^{st} step - shifts right 5 units: g(x + 5) = | x <u><em>- 5</em></u> |

2^{nd} step - shifts up 2 units: g(x + 5) + 2 = | x - 5 | <u><em>+ 2</em></u>

3^{rd} step - reflected: - g(x + 5) + 2 =<em> - </em>| x - 5 | + 2

4^{th} step - stretched by 0.5: <em>y = - </em><u><em>0.5</em></u><em> | x - 5 | + 2</em>

<em>y = - 0.5 | x - 5 | + 2</em>

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Given:

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Now,

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Therefore, the required time is  5\dfrac{3}{4} hours.

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