Compare the Graph Of $p ( x ) = \left[ - \frac { 1 } { 3 } ( x + 9 ) \right] ^ { 2 } - 9$

Multiple Choice

Compare the graph of $p ( x ) = \left[ - \frac { 1 } { 3 } ( x + 9 ) \right] ^ { 2 } - 9$ with $p ( x ) = x ^ { 2 }$ .

A) $p ( x ) = \left[ - \frac { 1 } { 3 } ( x + 9 ) \right] ^ { 2 } - 9$ shifts right 9 units, shifts downward 9 units, and shrinks by a factor of $- \frac { 1 } { 9 }$ .

B) $p ( x ) = \left[ - \frac { 1 } { 3 } ( x + 9 ) \right] ^ { 2 } - 9$ shifts right 81 units, shifts upward 9 units, and shrinks by a factor of $\frac { 1 } { 9 }$ .

C) $p ( x ) = \left[ - \frac { 1 } { 3 } ( x + 9 ) \right] ^ { 2 } - 9$ shifts left 9 units, shifts downward 9 units, and shrinks by a factor of $\frac { 1 } { 9 }$ .
D) $p ( x ) = \left[ - \frac { 1 } { 3 } ( x + 9 ) \right] ^ { 2 } - 9$ shifts right 9 units, shifts upward 9 units, and shrinks by a factor of $\frac { 1 } { 9 }$ .
E) $p ( x ) = \left[ - \frac { 1 } { 3 } ( x + 9 ) \right] ^ { 2 } - 9$ shifts left 81 units, shifts upward 9 units, and shrinks by a factor of $- \frac { 1 } { 3 }$ .