1.
The graph of $y=f(x)$ is shown below. If the function is changed to $y=f(-2x)$, What will be point A new coordinates?
Solution:将 $x$ 替换成 $-2x$，表示先关于 y 轴反射，再进行水平方向压缩 1/2，因此 $(-2,0)\rightarrow(1,0)$。Answer: D
2.
Prepare for transformation the following equation: $y=5(-4x+36)^3+2.5$.
Solution:$-4x+36=-4(x-9)$，所以化简后为 $y=5[-4(x-9)]^3+2.5$。Answer: D
3.
If a function is identified as $f(x)$, which of the following represents its inverse?
Solution:反函数记作 $f^{-1}(x)$，不是 $(f(x))^{-1}$。Answer: E
4.
Which transformation is represented in this graph?
Solution:图像关于 x 轴对称，因此属于垂直反射（Vertical reflection）。Answer: E
5.
If $(-6,1)$ is a point on the graph $f(x)$, what point must be on the graph of $y=2f(x)-3$?
Solution:$y=2(1)-3=-1$，x 不变，因此得到 $(-6,-1)$。Answer: C
6.
If the original function is $y=f(x)$, what transformation(s) occurred if the function is now $y=f(-2x)$ ?
Solution:负号表示关于 y 轴反射，2 表示水平方向压缩。Answer: B
1 out of 1
