Given the vertices and foci graph the equation of the ellipse

The video tutorial explains how to solve word problems involving ellipses. It begins with a general approach to word problems, emphasizing the importance of visualization. The focus then shifts to ellipses, discussing their types based on horizontal and vertical axes. The tutorial guides viewers through plotting vertices and foci to determine the major axis, calculating the center, and using the formula to find necessary values. The process concludes with applying the formula to write the equation of the ellipse.

What is the primary method suggested for solving word problems when stuck?

• Using a calculator

• Drawing a picture

• Memorizing formulas

• Writing a summary

How can you determine the type of major axis for an ellipse?

• By measuring the circumference

• By plotting the vertices and foci

• By checking the color of the graph

• By calculating the area

What is the center of an ellipse if the vertices are at (-4,0) and (4,0)?

• (4,4)

• (2,0)

• (0,0)

• (-2,0)

What is the value of 'a' if the distance from the center to a vertex is 4?

• 2

• 16

• 4

• 8

Which formula is used to find 'b' in the context of ellipses?

• a^2 = b^2 * c^2

• a^2 = b^2 + c^2

• a^2 = b^2 - c^2

• a^2 = c^2 - b^2

What is the equation of an ellipse with center (0,0), a^2 = 16, and b^2 = 12?

• x^2/16 + y^2/12 = 1

• x^2/4 + y^2/8 = 1

• x^2/8 + y^2/4 = 1

• x^2/12 + y^2/16 = 1

If the center of an ellipse is at (0,0), what can be omitted from the equation?

• The 'c' value

• The 'b' value

• The 'a' value

• The 'h' and 'k' values