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

question 106

Multiple Choice

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

---

Definitions:

Truck

A motor vehicle designed to transport cargo, varying in size, power, and configuration.

Research

The systematic investigation into and study of materials and sources to establish facts and reach new conclusions.

Physiological Response

Describes the body's automatic reactions to a stimulus, including changes in heart rate, hormone levels, and neural activity.

Violent TV

Television programming that includes scenes of physical force intended to hurt, damage, or kill.