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Hi,

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

5x^2 + 2y^2 = 10

||C(0,0), a = and b=

( 0, ±) and ±(,0)are the Vertices

Foci: ( 0, ±)

__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 )