Question 523894: Could you please help. I need to write the equation of the parabola in vertex form.
1. The parabola has it's vertex at the origin. Write the equation of the parabola if it also passes through the pooint (-1,2)
Thank you so much!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Could you please help. I need to write the equation of the parabola in vertex form.
1. The parabola has it's vertex at the origin. Write the equation of the parabola if it also passes through the point (-1,2)
----
Plot those 2 points and you will see the parabola
must be opening toward the top.
----
Vertex Form: y = a(x-h)+k where (h,k) is the vertex.
----
Using your two given points solve for "a":
2 = a(-1-0)^2+0
---
2 = a*1
a = 2
--------
Equation:
y = 2(x-0)^2 + 0
y = 2x^2
=========================
Cheers,
Stan H.
===============================
|
|
|
