Question

Transforming the graph of a function by shrinking or stretching

Answer 1

So,

From the graph of the function f(x), we can notice it contains the points:

`\begin{gathered} f(2)=-4\to(2,-4) \\ f(-2)=-2\to(-2,-2) \end{gathered}`

If we use the transformation, we obtain the new points:

`\begin{gathered} f((1)/(2)x)\to f((1)/(2)(2))=f(1)=-(7)/(2)\to(2,-(7)/(2)) \\ f((1)/(2)x)\to f((1)/(2)(-2))=f(-1)=-(5)/(2)\to(-2,-(5)/(2)) \end{gathered}`

All we need to do to graph the new line is to plot the points:

`(2,-(7)/(2))\text{ and }(-2,-(5)/(2))`

And form a line that passes through them.