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.

• A. Vertical stretch by a factor of $4$, right shift by $3$ units and shift down by $6$ units.
• B. Horizontal compress by a factor of $\frac13$ , left shift by $3$ units and shift down by $6$ units.
• C. Horizontal compress by a factor of $3$, right shift by $3$ units and shift down by $6$ units.
• D. Horizontal compress by a factor of $\frac13$, right shift by $3$ units and shift up by $6$ units.