SOLUTION: I need help with this equations: {{{ 4x^2+49y^2-196=0 }}} I need to find the center, vertices, & the foci .

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Question 611440: I need help with this equations:
I need to find the center, vertices, & the foci .

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,


center(0,0), vertices(-7,0)&(7,0),(0,2)&(0,-2), & the foci (-,0) & (,0)
See Ellipse below:
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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