Learn how to graph the equation of a circle when center is not at the origin

The video tutorial explains how to graph a circle by first discussing the properties of ellipses and circles. It then introduces the equation for a perfect circle and demonstrates how to find the center and radius. Finally, it provides a step-by-step guide to graphing the circle using the calculated center and radius.

What happens to the shape of an ellipse when the denominators under X and Y are the same?

• It becomes a parabola.

• It remains an ellipse.

• It becomes a perfect circle.

• It becomes a hyperbola.

What is the formula for the equation of a circle?

• (X + H)^2 + (Y + K)^2 = r^2

• X^2 + Y^2 = r^2

• (X - H)^2 + (Y - K)^2 = r^2

• X^2 - Y^2 = r^2

How is the center of the circle determined in this example?

• By finding the midpoint of the major axis.

• By using the coordinates (H, K) which are (1/4, 1/4).

• By calculating the average of X and Y coordinates.

• By using the radius as the center.

What is the approximate value of the radius in this example?

• Exactly 6

• Between 5 and 6

• Exactly 5

• Between 4 and 5

How does the instructor suggest plotting the circle on the graph?

• By plotting random points around the center.

• By drawing a square around the center.

• By marking points 6 units away from the center in all directions.

• By drawing a line through the center.