Equations of Ellipses Answers

Which statements about the ellipse are true? Check all that apply.

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An ellipse has vertices along the major axis at (0, 8) and (0, –2). The foci of the ellipse are located at (0, 7) and (0, –1). What are the values of a, b, h, and k, given the equation below?

✔ 345

✔ 03-3

0✔ 3-3

⇒ 24

An ellipse has a center at the origin, a vertex along the major axis at (13, 0), and a focus at (12, 0). What is the equation of the ellipse?

The equation represents an ellipse. What are the vertices of the ellipse?

Which equation represents the graph?

An ellipse is represented using the equation . Where are the foci of the ellipse located? Check all that apply.(−29, 7)(19, 7)(−21, 7)(13, 7)(−5, −17)(−5, 31)

The center of an ellipse is located at (3, 2). One focus is located at (6, 2) and its associated directrix is represented by the line x = 11. Given the standard form of the equation of an ellipse, what are the values of h, k, a, and b?

The center of an ellipse is located at (3, 2). One focus is located at (6, 2) and its associated directrix is represented by the line x = 11. Given the standard form of the equation of an ellipse, what are the values of h, k, a, and b?

Jeremiah is asked to write the equation of an ellipse. He is given one vertex along the major axis and the location of the center. He realizes he does not have enough information to write the equation. He asks his teacher for one additional piece of information. What information could Jeremiah ask for to help him write the equation? Check all that apply.the location of the focus nearest the given vertexthe location of the focus nearest the other vertexthe location of the other vertex along the major axisthe location of one covertex along the minor axisthe location of the directrix nearest the given vertexthe location of the directrix nearest the other vertexthe length of the minor axis