Graph hyperbola not in standard form

The video tutorial covers the process of working with standard form equations, focusing on identifying the center, transverse axis, vertices, foci, and co-vertices of an ellipse. It explains the importance of standard form, how to calculate A and B values, and the significance of the transverse axis. The tutorial also discusses the calculation of foci using square roots and provides techniques for graphing, including drawing asymptotes and understanding their role in the graph.

What is the first step to ensure an equation is in standard form?

• Subtract 9

• Add 9

• Divide by 9

• Multiply by 9

What are the coordinates of the center in the given example?

• (-1, 2)

• (1, 2)

• (2, -1)

• (0, 0)

How do you determine if the transverse axis is horizontal?

• If a^2 is under X

• If a^2 is under Y

• If b^2 is under Y

• If b^2 is under X

What is the role of the transverse axis in sketching an ellipse?

• It shows the length of the ellipse

• It indicates where the vertices and foci lie

• It helps in finding the center

• It determines the color of the ellipse

Where are the co-vertices located in relation to the transverse axis?

• On the parallel axis

• On the transverse axis

• On the conjugate axis

• On the diagonal axis

What is the equation for an asymptote with a horizontal transverse axis?

• y = ± a/b * Y - K

• y = ± b/a * Y - K

• y = ± b/a * X - H

• y = ± a/b * X - H

How can you use co-vertices to help sketch asymptotes?

• Draw vertical lines through them

• Draw horizontal lines through them

• Draw circular lines through them

• Draw diagonal lines through them