Write the equation of an ellipse given the center vertex and focus

What is the first step in writing the equation of an ellipse?

• Determining the length of the minor axis

• Calculating the area of the ellipse

• Identifying the type of conic section

• Identifying if the major axis is horizontal or vertical

What is the significance of the center, vertex, and focus in an ellipse?

• They are irrelevant to the ellipse equation

• They determine the color of the ellipse

• They lie on the major axis

• They determine the minor axis length

How do you determine the value of 'a' in the ellipse equation?

• It is the distance from the vertex to the focus

• It is the distance from the center to the co-vertex

• It is the distance from the center to the vertex

• It is the distance from the center to the focus

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

• c^2 = a^2 - b^2

• a^2 = b^2 + c^2

• c^2 = a^2 + b^2

• b^2 = a^2 - c^2

What is the final form of the ellipse equation given in the tutorial?

• x^2/25 + y^2/18 = 1

• x^2/18 + y^2/25 = 1

• x^2/18 - y^2/25 = 1

• x^2/25 - y^2/18 = 1