SOLUTION: Hyperbolas: Could someone please tell me how to determine if the following indicate the foci are on the x-axis or the y-axis? x^2/4 -y^2/16 = 1 x^2/49 - y^2/9 = 1 x^2/36 -

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Question 445873: Hyperbolas:
Could someone please tell me how to determine if the following indicate the foci are on the x-axis or the y-axis?
x^2/4 -y^2/16 = 1
x^2/49 - y^2/9 = 1
x^2/36 - y^2/16 = 1

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi, Note:
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.
These all open right and left with Centers(0,0) and foci along the x-axis
vertices (-2,0) and (2,0) foci sqrt(20) each side of center
(((x^2/49 - y^2/9 = 1}}} vertices (-7,0) and (7,0) foci sqrt(58) each side of center
vertices (-6,0) and (6,0) foci sqrt(52) each side of center
Graph of


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