SOLUTION: What is the vertex, axis of symmetry, focus, and directrix of the parabola y^2=-8x

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Question 408680: What is the vertex, axis of symmetry, focus, and directrix of the parabola y^2=-8x
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
What is the vertex, axis of symmetry, focus, and directrix of the parabola
since your parabola is y^2 = 4px in standard form, that is a parabola with vertex at origin
The vertex is (0 ,0)
Directrix is




Focus is at (p, 0)..........(-2, 0)
Since the is the axis of of the parabola and its is at the origin, the equation of the parabola has the form


The point (-2 , 4) lies on the parabola:
Solve for a: a = -2 ; the equation is:







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