SOLUTION: Hello! I'm stuck on a parabola question. Write an equation for each parabola with vertex at the origin. 36.) through (2, -2(square root sign)2, opening right Thank you to

Algebra ->  Graphs -> SOLUTION: Hello! I'm stuck on a parabola question. Write an equation for each parabola with vertex at the origin. 36.) through (2, -2(square root sign)2, opening right Thank you to      Log On


   

Question 127356This question is from textbook
: Hello! I'm stuck on a parabola question.
Write an equation for each parabola with vertex at the origin.
36.)
through (2, -2(square root sign)2, opening right
Thank you to anyone that is able to help me! This question is from textbook

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the general equation for this parabola is x=ay^2+by+c
__ horizontal axis of symmetry

since the vertex is at the origin, the "b" and "c" coefficients are both zero
__ this means x=ay^2

substituting the given point __ 2=a(-2sqrt(2))^2 __ 2=8a __ 1/4=a

x=(1/4)y^2