Compare the Graph Of $p ( x ) = 4 ( x - 3 ) ^ { 2 } + 9$

Multiple Choice

Compare the graph of $p ( x ) = 4 ( x - 3 ) ^ { 2 } + 9$ with $p ( x ) = x ^ { 2 }$ .

A) $p ( x ) = 4 ( x - 3 ) ^ { 2 } + 9$ shifts right $3$ units, shifts downward $9$ units, and shrinks by a factor of $\frac { 1 } { 4 }$ .
B) $p ( x ) = 4 ( x - 3 ) ^ { 2 } + 9$ shifts right $3$ units, shifts upward $9$ units, and stretches by a factor of $4$ .
C) $p ( x ) = 4 ( x - 3 ) ^ { 2 } + 9$ shifts left $3$ units, shifts downward $9$ units, and stretches by a factor of $4$ .
D) $p ( x ) = 4 ( x - 3 ) ^ { 2 } + 9$ shifts right $3$ units, shifts upward $9$ units, and shrinks by a factor of $\frac { 1 } { 4 }$ .
E) $p ( x ) = 4 ( x - 3 ) ^ { 2 } + 9$ shifts left $3$ units, shifts upward $9$ units, and stretches by a factor of $4$ .