Question

Write an equation for the translation of y = |x|. 15.5 units down

A. y = |x| – 15.5

B. y = |–15.5x|

C. y = |x| + 15.5

D. y – 15.5 = |x|

Answer 1

than you consider the axes coordinates and try this for x=0 what mean origin so this 15,5 units down mean that y coordinate point will be -15,5 from what result that the first one choice is right sure

A. y = IxI -15,5

Answer 2

Option A is correct

`y =|x| -15.5`

Explanation:

Vertically down:

To translate the absolute parent function y=f(x) vertically, the new function we get;

g(x) = f(x) + k

when k < 0 , the function is vertically down

when k > 0, then the function is vertically up

Given the function:

The translation of y = |x|

To do vertically down with 15.5

Use the above definition we have;

`y =|x| -15.5`

Therefore, an equation for the translation of y = |x|, with 15.5 units down

is,
`y =|x| -15.5`