Write the Equation of the Graph After the Indicated Transformation(s) $y = x ^ { 2 }$

question 36

Multiple Choice

Write the equation of the graph after the indicated transformation(s) .
-The graph of $y = x ^ { 2 }$ is shifted 3 units to the left. This graph is then vertically compressed by a factor of $\frac { 1 } { 5 }$ and reflected across the $x$ -axis. Finally, the graph is shifted 7 units downward.

• A) \(y = \frac { 1 } { 5 } ( x - 3 ) ^ { 2 } - 7\)
• B) \(y = - \frac { 1 } { 5 } ( x - 3 ) ^ { 2 } - 7\)
• C) \(y = - \frac { 1 } { 5 } ( x - 3 ) ^ { 2 } + 7\)
• D) \(y = - \frac { 1 } { 5 } ( x + 3 ) ^ { 2 } - 7\)

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