Question

I inserted a picture of the questionPlease state whether it’s A B C or DCheck all that apply

Answer 1

Given the initial function,

`f(x)=2^x`

In general, a vertical stretch/compression is expressed by

`f(x)\to k\cdot f(x)`

If k>1, the function gets a vertical stretch; on the other hand, if 0Therefore, in our case,

`g_1(x)=(1)/(3)f(x)\to\text{vertical compression by a factor of 1/3}`

A vertical shift is given by the following formula

`\begin{gathered} f(x)+k \\ k>0\to\text{shifted up} \\ k<0\to\text{shifted down} \end{gathered}`

In our case,

`g(x)=g_1(x)-7\to\text{vertical shift down by 7 units.}`

Therefore, the answers are B and D.