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Question 611421: 2.Classify the conic section and write its equation in standard form. Ellipse, Parabola, Hyperbola, and Circle (A-H)
A. X^2 + y^2=16=0
B. y^2 + 2x = 0
C.3x^2 + 3y^2- 48 = 0
d.25x^2 - 4y^2 = 100
e. 4x^2 + y^2 - 16 = 0
f. 4x^2 - y^2 = 16
g. 4x^2 - 25y^2 = 100
h.x^2 + y^2 - 12x - 12y + 36=0
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
A. x^2 + y^2=16 OR x^2 + y^2=4^2
B. y^2 = -2x
C.3x^2 + 3y^2- 48 = 0 OR x^2 + y^2 = 16 OR x^2 + y^2=4^2
d.25x^2 - 4y^2 = 100 OR x^2/2^2 - y^2/5^2 = 1
See below for details on the various 'Standard Forms" describing various conic sections;:
See below descriptions of various conics
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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