Fill in Each Blank with the Appropriate Response $y = - \frac { 1 } { 6 } ( x + 3 ) ^ { 2 } - 8$

Fill in each blank with the appropriate response.
-The graph of $y = - \frac { 1 } { 6 } ( x + 3 ) ^ { 2 } - 8$ can be obtained from the graph of $y = x ^ { 2 }$ by shifting horizontally $\underline{\quad\quad}$ units to the $\underline{\quad\quad}$ vertically compressing by a factor of $\underline{\quad\quad}$ , reflecting across the $\underline{\quad\quad}$ -axis, and shifting vertically $\underline{\quad\quad}$ units in the $\underline{\quad\quad}$ direction.

A) $3 ;$ left; $\frac { 1 } { 6 } ; x ; 8 ;$ downward
B) 3 ; right; $\frac { 1 } { 6 } ; x ; 8 ;$ downward
C) $3 ;$ left; $8 ; x ; \frac { 1 } { 6 } ;$ downward
D) 3 ; right; $\frac { 1 } { 6 } ; \mathrm { x } ; 8$ ; upward

Correct Answer:

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