SOLUTION: How do you convert y= -(x^2/36)+1 to standard form

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Question 1099085: How do you convert y= -(x^2/36)+1 to standard form
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!


Multiply both sides by 36



Add x2 to both sides



Add -36y to both sides:



Factor out -36 on the right side:



Write x as (x-0)



Compares to standard form with
vertical axis of symmetry x = 0,
which is the y-axis



vertex = (h,k) = (0,1)

4p = -36
 p = -9

p is negative, so parabola opens downward

Focus is |p| = |-9| = 9 units below vertex,
so focus is (0,-8)

Directrix is the (green) line 9 units above the vertex,
which is the horizontal line whose equation is
y = 10

 

Edwin
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