Hi
Classify the conic section, write it's equation in standard form, and graph.
y^2-2y-4x-7=0
(y-1)^2-1 - 4x-7 = (y-1)^2-4x-8 = 0 OR (1/4)(y-1)^2 -2 =x
Note:
the vertex form of a parabola opening right or left, 
where(h,k) is the vertex. V(-2,1)
The standard form is 
, where the focus is (h +p,k) 
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 )
