Question

Find an equation in standard form for the ellipse with the vertical major axis of length 18, and minor axis of length 10

Answer 1

From a circle,
the ellipse is stretched 18 times up and down
and 10 times left and right
Equation of unit circle: x^2 + y^2 = 1^2
Apply the stretches and you'll be done.

Answer 2

how do i apply the stretches

Answer 3

For instance, if you wanted to stretch two times along the x-axis, you'd replace every x with x/2.

Answer 4

so it would be X^2/9 and y^2/5

Answer 5

@LollyLau

Answer 6

@naveenbhatia1312 If you want to stretch along the x-axis by 10 times you'd replace x with x/10.