Hello, aussiekid90!

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 aretwovalues of .

Therefore, there aretwonormals that can be drawn . . .

except: when , thenonenormal can be drawn

. . and when when there arenonormals.