Question

Write the equation of the function when y=xl is translated 1 unit up and 6 units to
the left?
Oa) y = |x – 6|+1
Ob) y = |x – 1| +6
Oc) y = |x+1|+6
d) y = |x+6|+1

Answer 1

Answer:

Option d) is correct

Step-by-step explanation:

Given: $y=\left | x \right |$ is translated 1 unit up and 6 units to  the left

To find: equation of the function when the given function is translated 1 unit up and 6 units to  the left

Solution:

See the graph of $y=\left | x \right |$ .

As the graph of the given function is translated 1 unit up and 6 units to  the left, the graph becomes as shown in the image attached.

The equation of the function when the given function is translated 1 unit up becomes $y-1=|x|$ and when this function is translated 6 units to  the left, the equation becomes $y-1=|x+6|$

$y=|x+6|+1$

So, option d) is correct.