Question

Write a formula for the function g(x) obtained when the graph of f(x)=|x| is shifted down 7 units and to the right 11 units. Hint: You have a choice of two ways to enter your absolute value answer.If you use the "text" mode in Mobius (where the answer box is one line tall), then type in abs() for absolute value. For example, to enter |x−5| type in abs(x-5).If you use the "symbol" mode in Mobius (where the answer box is six lines tall), then type in vertical bars | for absolute value.You can switch between text mode and symbol mode by clicking on the Greek letter capital sigma button

Answer 1

Given: A function

`f(x)=|x|`

Required: To write a formula for the function g(x) obtained when the graph of f(x) is shifted down 7 units and to the right 11 units.

Explanation: To shift a function up or down, we simply add or subtract numbers from the function. To shift a function to the left or down we add or subtract inside the argument of the function.

Hence, the formula for the function g(x) is as follows

`g(x)=|x-11|-7`

Final Answer: The function is-

`g(x)=\lvert x-11\rvert-7`