AIR MATH

Math Question

The function \( g(x) \) is a transformation of the parent function \( f(x) \). Decide how \( f(x) \) was transformed to make \( g(x) \).
\begin{tabular}{|c|c|c|c|}
\hline \multicolumn{2}{|c|}{\( f(x) \)} & \multicolumn{2}{c|}{\( g(x) \)} \\
\hline\( x \) & \( y \) & \( x \) & \( y \) \\
\hline\( -2 \) & \( \frac{1}{9} \) & \( -2 \) & \( -\frac{17}{9} \) \\
\hline\( -1 \) & \( \frac{1}{3} \) & \( -1 \) & \( -\frac{5}{3} \) \\
\hline 2 & 9 & & 7 \\
\hline 3 & 27 & 3 & 25 \\
\hline 4 & 81 & 4 & 79 \\
\hline
\end{tabular}
A. Horizontal or vertical stretch
B. Horizontal or vertical shift
C. Horizontal or vertical reflection
D. Reflection across the line \( y=x \)

Solution

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