Question

How do you graph the ellipse?

(x+6)² /6 + (y-3)² / 9=1

Answer 1

To graph the ellipse with the given equation, use the standard form of an ellipse equation. Identify the values of h, k, a, and b. Plot the ellipse centered at (h, k) and determine the lengths of the semi-major and semi-minor axes. Draw the ellipse using these values.

Step-by-step explanation:

To graph the ellipse with the equation (x+6)² /6 + (y-3)² / 9=1, we can use the standard form of an ellipse equation (x-h)² /a² + (y-k)² / b² = 1.

1. Identify the values of h, k, a, and b from the given equation.
2. Plot the ellipse centered at (h, k) and determine the lengths of the semi-major axis a and semi-minor axis b.
3. Use these values to draw the ellipse by marking points along the major and minor axes and connecting them smoothly.