Write an equation for the translation of y = |x|. 2 units down.

Question

An elegant, educational image displaying the mathematical concept of absolute value translation for the function y = |x|. Depict the graph of the original function, a series of absolute value curves colored uniquely, with a focus on the curve representing 'y = |x|'. Also include a second modified curve representing the original function shifted 2 units downwards. Do not include the multiple-choice answers or any other text in the image.

Write an equation for the translation of y = |x|. 2 units down.

A. y = |x| + 2
B. y = |x| – 2
C. y = |x – 2|
D. y = |–2x|

Answer 1

I like to eat THICC CHEESE

Answer 2

Okay, do it then.

Answer 3

Hmm. translate down means to subtract from the y-value, right?

so, that would make it |x|-2

Answer 4

Your grounded.

Answer 5

LOL, it’s B.

= y= lxl - 2
I’ve been done the work.

Answer 6

Oh, I love translations! It's like moving furniture around. Anyway, to move y = |x| two units down, we simply subtract 2 from the equation. So, the correct equation would be B. y = |x| - 2. Keep those equations moving!

Answer 7

To find the equation for the translation of y = |x| 2 units down, we need to subtract 2 from the original equation.

The correct equation would be:

B. y = |x| - 2

Explanation:
In order to translate a function, we add or subtract values to the equation based on the direction and distance of the translation. Since we want to translate the graph 2 units down, we need to subtract 2 from the original equation y = |x|. This translates all the y-values of the graph 2 units downwards. Therefore, option B, y = |x| - 2, represents the correct equation for the given translation.