What is the y coordinate for the center of the given ellipse?

[princiebebe57]

Find the y coordinate for the center of the ellipse given by the equation 8x^2 + y^2 - 4y = 2

 

[Astronuc]

Try to rewrite the equation in the general form of an ellipse.

A (x - x₀)² + B (y - y₀)² = 0,

where the center is at x₀, y₀

 

[princiebebe57]

i don't know how. how do you write it?

 

[HallsofIvy]

Do you know how to "complete the square"?

 

[chaoseverlasting]

There is an easier method if you know differentiation. Differentiate the equation wrt x treating y as a constant to get a value for x, and similarly for y by treating x as a constant. The values of x and y you get are the coordinates of the center.

 

[manuelyt]

the center is at (0,3)