SOLUTION: how do i classify conic sectins n write its equation in standard form?
example:
-2y^2+x-20y-49=0
Algebra.Com
Question 571627: how do i classify conic sectins n write its equation in standard form?
example:
-2y^2+x-20y-49=0
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The conic sections you are likely to encounter will have axes of symmetry parallel to the x and y axes, and that will make it easier, because you will not see a term with xy.
Getting to the standard form involves completing squares. Whenever you see a variable and a variable squared, as in
you have to imagine the part of the expression with that variable as part of a perfect square.
In this case
should come to mind.
With that in mind, you start transforming the equation
--> --> --> --> --> --> --> -->
The last equation tells you that it is a parabola with horizontal axis of symmetry , vertex at (-1,-5), and focal distance
It opens to the right. ,--> .
The directrix is the vertical line.
The focus has , so it's the point(-0.875,-5).
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