Learn how to graph the equation of a circle with the center at the origin

The video tutorial explains how to graph the equation x^2 + y^2 = 12, initially thought to be an ellipse but identified as a circle. The instructor discusses the properties of ellipses, including vertices and axes, and then demonstrates how to transform the equation to recognize it as a circle. The process of graphing the circle involves identifying the center and calculating the radius, which is estimated to be between 3 and 4. The tutorial concludes with the final steps to complete the graph of the circle.

What is the equation x^2 + y^2 = 12 transformed into when divided by 12?

• A hyperbola

• An ellipse

• A parabola

• A circle

What are the coordinates of the center of the circle derived from the equation x^2 + y^2 = 12?

• (2,2)

• (3,3)

• (0,0)

• (1,1)

How is the radius of the circle calculated from the equation r^2 = 12?

• r = 3

• r = √12

• r = 4

• r = 2√3

What is the estimated range for the radius of the circle?

• Between 5 and 6

• Between 3 and 4

• Between 4 and 5

• Between 2 and 3

Which of the following is a step in graphing the circle?

• Identifying the major axis

• Calculating the eccentricity

• Estimating the radius

• Finding the foci