Make a table of values to find points from each of the new graphs.
The graph of g is a vertical shrink of the graph of f by a factor of 14.
Practice makes perfect
First, let's use a table of values to find points on the graph of f(x)=x-2.
x
x-2
f(x)
0
( 0)-2
-2
3
( 3)-2
1
6
( 6)-2
4
We can plot these points and connect them with a straight line to have the graph of f(x).
Now, let's look at how the function g(x)= 14f(x) differs from f(x).
x
f(x)
1/4f(x)
g(x)
0
-2
1/4( -2)
-1/2
3
1
1/4( 1)
1/4
6
4
1/4( 4)
1
If we plot these points on the same coordinate plane as f(x), we can see that our points have been shrunk a quarter as far away from the x-axis as they were before.
Therefore, the graph of g is a vertical shrink of the graph of f by a factor of 14.
