Is itOriginally Posted by nath_quam
In other words, or
Keep Smiling
Malay
Hello, Nath!
They already did the groundwork for us . . . the rest is easy.
[I got the same answers, Malay!]
is a point on the parabola
The normal at cuts the x-axis at and the y-axis at
Find the value(s) of such that is the midpoint of
I assume you know the Midpoint Formula . . .
Given two points and , the midpoint of is: .
We have: .
The midpoint is: .
Since we want , we have: .
If two points are equal, their corresponding coordinates are equal.
Equate 's: .
. . Divide by
Equate 's: .
. . Divide by
Therefore: .