Exercise 5 Page 6

The given function is linear so its parent function is $f(x)=x.$ We will start by graphing both functions in one coordinate plan. Then we will compare them to describe the transformation.

Graphing the Functions

To graph both of the functions, we will use their slopes and $y\text{-}$intercepts.

Now, let's plot the functions! In both cases, start at the $y\text{-}$intercept and draw a line using the slope.

Comparing the Functions

Having drawn our functions, we can describe the transformation.

We see that each $y\text{-}$value is being multiplied by $3,$ and all points are being pulled away from the $x\text{-}$axis. This is a vertical stretch by a factor of $3.$