Question

select the correct answerthe table below shows points on the graphs of functions $f$ and $g$.| $x$ | $f(x)$ | $g(x)$ ||-----|--------|--------|| -2 | 9 | 27 || -1 | 7 | 21 || 0 | 5 | 15 || 1 | 3 | 9 || 2 | 1 | 3 |the transformation that occurred on function $f$ to produce function $g$ was aoptions:vertical stretch of 3horizontal compression of $\frac{1}{3}$horizontal stretch of 3horizontal compression of $\frac{1}{9}$vertical compression of $\frac{1}{3}$vertical stretch of 9

Explanation:

Step1: Compare g(x) and f(x) values

For each x, $g(x) = 3 \times f(x)$
Example: $g(-2)=27=3\times9=3f(-2)$, $g(-1)=21=3\times7=3f(-1)$

Step2: Identify transformation type

A vertical stretch by factor $k$ is $g(x)=kf(x)$. Here $k=3$.

Answer:

vertical stretch of 3