a)Parent function: \(f(x)=|x|\)

b)-Vertical shrink by a factor of \(\displaystyle\frac{{1}}{{2}}\)

-Horizontal shift 2 units to the right

-Vertical 3 units downward

c)The graph will be:

[Graph]

d)In function notation, \(\displaystyle{g{{\left({x}\right)}}}={\left(\frac{{1}}{{2}}\right)}{f{{\left({x}-{2}\right)}}}-{3}\) <- Answer