Question

How many units the function y = |x - 8| is translated from the parent function?Shifted 8 units right from the originShifted 8 units left from the originShifted 8 units upwards from the originShifted 8 units downwards from the origin

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given function

`y=|x-8|`

STEP 2: Write the paremt function

Absolute functions are given initially as:

`y=|x|`

STEP 3: Describe the translation.

It can be seen from above that 8 units was subtracted from the x-value of the parent function to get the new function. This is called an horizontal shift and this type of shift goes either to the left or to the right depending on the units added or subtracted.

8 units was subtracted from the x-value and hence the answer is:

Shifted 8 units right from the origin