Transformation: A vertical stretch by a factor of 43.
Practice makes perfect
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-intercepts.
Function
Slope-intercept form
Slope
y-intercept
y=x
y= 1x+ 0
1
0
y=4/3x
y= 4/3x+ 0
4/3
0
Now let's plot the functions! In both cases, start at the y-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-value is being multiplied by 43 and all points are being pulled away from the x-axis. This is a vertical stretch by a factor of 43.
