Question 1051222: Identify the focus, directrix, and axis of symmetry of x=2y^2. Graph the equation.
I really don't understand this unit so any tips or help I would really appreciate. Thanks :)
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! Understanding takes more study than you may be accustomed. Pictures and labeling are helpful. You will make some good use of your equation in the form,  ; and notice which variable is to power of two and which is to power of 1.
Now view and study these, very carefully:
Deriving equation of parabola, vertex at the origin
Same thing but vertex NOT at the origin, and different symmetry axis
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Once you recognize the basic reference equation of a parabola, you will know that, whatever the focus and directrix values found, the focus for your parabola is to the right of the origin, the directrix is same distance away but to the left of the origin, the vertex is the origin, and the axis of symmetry is the x-axis.
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