QuestionSketch the graphs of $f(x)=x^{2}$ and $g(x)=\frac{1}{8} x^{2}$. Find the points of $g(x)$ corresponding to $(-1,1),(0,0),(1,1)$.

Studdy Solution
Finally, let's find the corresponding point for $(1,1)$ on $f(x)$.
$$g(1) = \frac{1}{8} \times f(1) = \frac{1}{8} \times1 = \frac{1}{8}$$So, the corresponding point on $g(x)$ is $(1,\frac{1}{8})$.
The points $(-1,1),(0,0)$, and $(1,1)$ of $f(x)$ translate to the points $(-1,\frac{1}{8}),(0,0)$, and $(1,\frac{1}{8})$ of $g(x)$.