Question 512301: y squared minus eight x equals zero
c =
Principal axis =
Opening =
Vertex =
Focus =
Directrix =
Endpts of Lotus Rectum = Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! y squared minus eight x equals zero
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y^2-8x=0
y^2=8x
This is an equation of a parabola of standard form: (y-k)^2=4p(x-h) with (h,k) being the coordinates of the vertex.
For given equation: y^2=8x:
4p=8
p=2
..
c = (What is this)?
Principal axis: y=0 (also, called axis of symmetry)
Opening: Parabola opens rightwards
Vertex: (0,0)
Focus: (2,0) (a point p units from vertex on axis of symmetry)
Directrix: y=-2 (line pependicular to axis of symmetry p units from vertex
Endpts of Lotus Rectum: (2,-4) and (2,4)
..
see graph below as a visual check on above.