Apply the transformations on the graph of $p(x)=\(\sqrt{x}\)$ into the graph of $h(x)=4\(\sqrt{x-3}\)-6$ . Check your work with the help of a graphing calculator.

Vertical stretch by a factor of $4$, right shift by $3$ units and shift down by $6$ units.

Horizontal compress by a factor of $\(\frac\)13$ , left shift by $3$ units and shift down by $6$ units.

Horizontal compress by a factor of $3$, right shift by $3$ units and shift down by $6$ units.

Horizontal compress by a factor of $\(\frac\)13$, right shift by $3$ units and shift up by $6$ units.