Find the y-intercept of the normal to the parabola
at the point , where
(a) Find the limit of this y-intercept as .
You did the hard work . . . You found that the y-intercept is: .
As , we see that
(b) For each , determine the number of normals that can be drawn
from the point to the parabola .
We already know that the y-intercept is: .
. . Then:.
In general, for every , there are two values of .
Therefore, there are two normals that can be drawn . . .
except: when , then one normal can be drawn
. . and when when there are no normals.