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Question 608617: Classify the conic section, write it's equation in standard form, and graph.
25x^2+y^2-100x-2y+76=0
Answer by ewatrrr(24785)   (Show Source):
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Hi
Classify the conic section, write it's equation in standard form, and graph.
25x^2+y^2-100x-2y+76=0
25(x-2)^2 - 100 + (y-1)^2-1 +76 = 0
25(x-2)^2 + (y-1)^2= 25
Note:
Standard Form of an Equation of an Ellipse is  where Pt(h,k) is the center. (a positioned to correspond with major axis)
a and b are the respective vertices distances from center and ± are the foci distances from center: a > b
See below descriptions of various conics
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Standard Form of an Equation of a Circle is 
where Pt(h,k) is the center and r is the radius
Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center. (a positioned to correspond with major axis)
a and b are the respective vertices distances from center and ±are the foci distances from center: a > b
Standard Form of an Equation of an Hyperbola opening right and left is:
 where Pt(h,k) is a center with vertices 'a' units right and left of center.
Standard Form of an Equation of an Hyperbola opening up and down is:
 where Pt(h,k) is a center with vertices 'b' units up and down from center.
the vertex form of a parabola opening up or down,  where(h,k) is the vertex.
The standard form is  , where the focus is (h,k + p)
the vertex form of a parabola opening right or left,  where(h,k) is the vertex.
The standard form is  , where the focus is (h +p,k )
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