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Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.

Find an equation in standard form for the ellipse with the vertical major axis of-example-1
User Marzena
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1 Answer

4 votes

Answer:

The first option.

Step-by-step explanation:

You take the major vertical length and put it into this equation:

2a = 16

a/2 = 16/2

a = 8

You do the same with the minor length.

2b = 10

b/2 = 10/2

b = 5

You then switch the a^2 and the b^2 due to the fact that the veritcal length is longer than the horizontal. Then you use the formula to plug in 8 and 5.

(x - h)^2 / b^2 + (y - k)^2 / a^2 = 1

(x - h)^2 / 5^2 + (y - k)^2 / 8^2 = 1

User Chris Seufert
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