Solve the Problem $$g ( x ) = - \frac { 1 } { 5 } x ^ { 6 } - 3$$

question 235

Multiple Choice

Solve the problem.
- $$g ( x ) = - \frac { 1 } { 5 } x ^ { 6 } - 3$$ a. Identify the power function of the form $y = x ^ { n }$ that is the parent function to the given graph.
b. In order, outline the transformations that would be required on the graph of $y = x ^ { n }$ to make the Graph of the given function.
c. Match the function with the graph.
i.


ii.


iii.


iv.

• A) a. \(y = x ^ { 6 }\) b. Expand \(y = x ^ { 6 }\) horizontally by a factor of 5 . Reflect across the \(x\) - axis. Shift downward 3 units. c. Graph iv.
• B) a. \(y = x\) b. Expand \(y = x ^ { 6 }\) vertically by a factor of 5 . Reflect across the \(x\) - axis. Shift upward 3 units. c. Graph iv.
• C) a. \(y = x ^ { 6 }\) b. Shrink \(y = x ^ { 6 }\) vertically by a factor of \(\frac { 1 } { 5 }\). Reflect across the \(x\) - axis. Shift downward 3 units, c. Graph \(i\).
• D) a. \(y = x ^ { 6 }\) b. Shrink \(y = x ^ { 6 }\) horizontally by a factor of \(\frac { 1 } { 5 }\). Reflect across the \(x -\) axis. Shift downward 3 units. c. Graph iii.

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