Question

What is the center point for the following ellipse:
[(x+4)²/16] + [(y+2)²/25] = 1

Answer 1

The center point of the given ellipse is (-4,-2).

Step-by-step explanation:

The center point of an ellipse is found by determining the coordinates of the center. The general equation of an ellipse is given by (x-h)²/a² + (y-k)²/b² = 1, where (h,k) represents the center of the ellipse. Comparing this equation to the given equation [(x+4)²/16] + [(y+2)²/25] = 1, we can see that the center of the ellipse is (-4,-2). Therefore, the center point of the given ellipse is (-4,-2).