Question

Choose the graph that represents the equation y = 2|x - 2|

Answer 1

Attached below

Explanation:

First of all draw the line y=2(x-2)

Now for x<2 function is negative thus after applying mode function it will become positive. For this take mirror image of line below X axis about X-axis.

y =2║x-2║

It will pass through (0,4) and (2,0) for x<2.

and same for x>2