How to find the coefficient a of a y=ax^{2} parabola?

Bruce Rosario 2022-04-22 Answered
How to find the coefficient a of a
y=ax2
parabola?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (2)

Ezakhenitne
Answered 2022-04-23 Author has 10 answers
Step 1
As a first qualitative step we know that if the parabola opens upward
a>0 otherwise if it opens downward a<0
For a quantitative evaluation we need at least to know the coordinates of a point (x0, y0) on the parabola with x00 and then
y0=ax02a=y0x02
Not exactly what you’re looking for?
Ask My Question
Brenton Steele
Answered 2022-04-24 Author has 18 answers
Hold your parabolic mirror in a vertical position, with some distant object in front of it (the Sun, a tall tree with the sky as background, and so on) and a vertical white screen where to project the image.
Move your mirror until the image formed on the screen is clear and detailed. Measure then the distance between the image on the screen and the center of your mirror: that is the focal distance f of your screen. And
a=14f
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more