SOLUTION: Find the coordinates of the focus and the vertex, the equations of the directrix and the axis of symmetry, and the direction of opening of the parabola.
y^2 - 12x = 0
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Algebra.Com
Question 1204729: Find the coordinates of the focus and the vertex, the equations of the directrix and the axis of symmetry, and the direction of opening of the parabola.
y^2 - 12x = 0
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This to me looks like a completing the square type problem, but I don't know how to complete a square with only two terms like these.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
vertex form of your parabola is:
where (, ) is vertex and (, ) is focus
your parabola in vertex form will be:
as you can see, , , =>
vertex is at origin (,)
focus is at (, )= (, )=(,)
the axis of symmetry is =>
The focus and the directrix lie on either sides of vertex of the parabola and are equidistant from the vertex.
so, and the equations of the directrix is
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