Learn to graph an ellipse when a and b are fractions

The video tutorial explains how to graph an ellipse given the equation X^2/9/4 + Y^2/25/4 = 1. It covers identifying the center, calculating A^2, B^2, and C^2, and understanding the major and minor axes. The tutorial concludes with graphing the ellipse using the vertices and foci, emphasizing the importance of the major axis being vertical when A^2 is under Y.

What is the center of the ellipse given the equation X^2 + Y^2 = 1?

• (1,0)

• (1,1)

• (0,0)

• (0,1)

How do you determine which value is a^2 when given fractions?

• The smaller fraction is a^2

• The larger fraction is a^2

• The fraction with the larger numerator is a^2

• The fraction with the smaller denominator is a^2

What is the relationship between a^2, b^2, and c^2 in an ellipse?

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 = b^2 + c^2

• b^2 - a^2 = c^2

If the larger number is under the Y term, what is the orientation of the major axis?

• Circular

• Diagonal

• Horizontal

• Vertical

What is the distance from the center to the vertices if a = 5/2?

• 3

• 1.5

• 5

• 2.5

What is the distance from the center to the co-vertices if b = 3/2?

• 1

• 1.5

• 3

• 2

Where do the foci of the ellipse lie in relation to the major axis?

• On the minor axis

• On the major axis

• Outside the ellipse

• At the center