Let's first consider the possible transformation(s) that might be applied to the parent function f(x)=bx.
Translations of f(x)=bx | |
---|---|
Vertical Translations | Translation up k units, k>0y=bx+k |
Translation down k units, k>0y=bx−k | |
Horizontal Translations | Translation right h units, h>0y=b(x−h) |
Translation left h units, h>0y=b(x+h) |
Notice that in our case b=5, so we're looking for transformation(s) of the function f(x)=5x. Now, let's consider the given function. y=5x+3 Looking at the function, we can see that the transformation is a vertical translation 3 units up.