Points of intersection between a vertical and horizontal parabola

This should be an easy one. I don't know why I can't figure it out. I can graph it and see the answer. I can even see that one point of intersection is (0,0). But I just can't figure out how to calculate the other points; (1/8,1/16)  The answer is in the back of the book, there's just no explanation. 
Please, show me how to get there. 

The parabolas are 
y = 4x^2        and        x = 32y^2

Answer

Answers can be viewed only if
  1. The questioner was satisfied and accepted the answer, or
  2. The answer was disputed, but the judge evaluated it as 100% correct.
View the answer
Mathe Mathe
3.2K
The answer is accepted.
Join Matchmaticians Affiliate Marketing Program to earn up to 50% commission on every question your affiliated users ask or answer.