3) To transform the graph of $y = x^2$ into the graph of $y = 5(x  3)^2 + 2$, one must:

stretch the graph in the vertical direction by a factor of $5$, shift to the left $3$ units and up two units.

stretch the graph in the horizontal direction by a factor of $5$, shift to the left $3$ units and up two units.

stretch the graph in the vertical direction by a factor of $5$, shift to the right $3$ units and up $2$ units.

stretch the graph in the vertical direction by a factor of $5$, shift to the right $3$ units and down $2$ units.

stretch the graph in the horizontal direction by a factor of $5$, shift to the right $3$ units and down $2$ units.
