Graph a circle when the equation is not in standard form

The video tutorial explains how to graph an equation by identifying it as a circle. It starts with recognizing a non-standard form of an ellipse equation and transforming it into a standard form. The tutorial then identifies the equation as a circle, calculates the center and radius, and demonstrates how to graph it. The process includes estimating the radius and plotting the circle on a graph.

What is the first step in graphing an ellipse when the equation is not in standard form?

• Rearrange the equation to have X and Y on the same side

• Multiply both sides by a constant

• Add a constant to both sides

• Subtract Y from both sides

When the vertices and co-vertices are equidistant from the center, what shape does the ellipse equation represent?

• An ellipse with a major axis

• A hyperbola

• A circle

• A parabola

What is the general equation for a circle?

• X - H^2 + Y - K^2 = R^2

• X^2 + Y^2 = R^2

• X^2 - H + Y^2 - K = R^2

• X^2 + Y^2 = 1

How do you calculate the radius from the equation R^2 = 40?

• R = 4

• R = 20

• R = 40

• R = sqrt(40)

What is the approximate value of sqrt(40) used for graphing?

• Exactly 6

• Exactly 7

• Between 5 and 6

• Between 6 and 7