Question

1)
Write an absolute value equation that is reflected, vertically shifted 2/3 units down and 1/2 units to the right.



2)
Write an absolute value equation with a horizontal shift 4 units to the right.

Answer 1

I assuming it can be an equation of an arbitrary choice. And I am further assuming that by "equation" they mean a function.

so I choose a simple f(x)=|x|, then

(1)

reflected (around the x axis here)

f(x) = -|x|

vertically shifted 2/3

f(x) = -|x|+2/3

and 1/2 units to the right

f(x) = -|x-1/2|+2/3   (final answer)

(2)

f(x) = |x-4|   (final answer)