Question

I do not understand the parent functions I've tried many times but get confused I just need a step-by-step explanation if you can thank you!

Answer 1

We will find the points:

1)

`f(x)=((1)/(2))^(x-2)+1`

`\begin{cases}f(-4)=65 \\ f(-3)=33 \\ f(-2)=17 \\ f(-1)=9 \\ f(0)=5 \\ f(1)=3 \\ f(2)=2 \\ f(3)=(3)/(2) \\ f(4)=(5)/(4)\end{cases}`

2)

`f(x)=2\cdot3^x`
`\begin{cases}f(-4)=(2)/(81) \\ f(-3)=(2)/(27) \\ f(-2)=(2)/(9) \\ f(-1)=(2)/(3) \\ f(0)=2 \\ f(1)=6 \\ f(2)=18 \\ f(3)=54 \\ f(4)=162\end{cases}`