Write the absolute value equation given the transformations shifts right 5 units
shifts up 2 units
is reflected
is stretched by 0.5

y = - 0.5 | x - 5 | + 2

Step-by-step explanation:

g(x) = |x|

step - shifts right 5 units: g(x + 5) = | x - 5 |

step - shifts up 2 units: g(x + 5) + 2 = | x - 5 | + 2

step - reflected: - g(x + 5) + 2 = - | x - 5 | + 2

step - stretched by 0.5: y = - 0.5 | x - 5 | + 2

y = - 0.5 | x - 5 | + 2

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step-by-step explanation: