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

Interpret the significance levels and obtained values in the context of factorial ANOVA results.

Recognize the appropriate use of factorial ANOVA in various research designs.

Identify the number of research hypotheses in factorial ANOVA setups.

Distinguish between different factorial ANOVA configurations (e.g., 2 × 2, 3 × 2)