Question 159992
Let's look at the absolute value first.
1.{{{abs(x-2)=x-2}}} when {{{x-2>=0}}}
2.{{{abs(x-2)=-(x-2)}}} when {{{x-2<=0}}}
If we expand those two,
1.{{{abs(x-2)=x-2}}} when {{{x>=2}}}
2.{{{abs(x-2)=-x+2)}}} when {{{x<=2}}}
.
.
.
Now add that to the other portion of the function(-2x) to get,
1.{{{abs(x-2)-2x=x-2-2x}}} when {{{x>=2}}}
2.{{{abs(x-2)-2x=-x+2-2x)}}} when {{{x<=2}}}
and simplify,
1.{{{abs(x-2)-2x=-x-2}}} when {{{x>=2}}}
2.{{{abs(x-2)-2x=-3x+2)}}} when {{{x<=2}}}
Two lines with a change point at x=2.
.
.
.
{{{drawing( 300, 300, -10, 10, -10, 10,grid( 1 ),circle( 2, -4, .3 ),green(line( 10,-12,2,-4)),green(line(2,-4,-10,32)))}}}