SOLUTION: Which of the equations below is for an ellipse and which is for a hyperbola?
Demonstrate by explaining or showing how you can tell the difference without using a graphing
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Question 853215: Which of the equations below is for an ellipse and which is for a hyperbola?
Demonstrate by explaining or showing how you can tell the difference without using a graphing
calculator. You may use the coordinate plane below for sketching, if you choose.
a) 4y2 = 144 + 16x2
b) 4y2 + 16x2 = 144
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Which of the equations below is for an ellipse and which is for a hyperbola?
Demonstrate by explaining or showing how you can tell the difference without using a graphing
calculator. You may use the coordinate plane below for sketching, if you choose.
a) 4y2 = 144 + 16x2
4y^2-16x^2=144
divide by 144
This is an equation of a hyperbola with vertical transverse axis.
Its standard form: , (h,k)=coordinates of center.
..
b) 4y2 + 16x2 = 144
divide by 144
This is an equation of an ellipse with vertical major axis.
Its standard form: , (h,k)=coordinates of center.
..
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