Equations of Hyperbolas — Unit test Answers

Which equation represents the circle described?The radius is 2 units. The center is the same as the center of a circle whose equation is x2 + y2 – 8x – 6y + 24 = 0.

A parabola can be represented by the equation x2 = 2y.

The center of a hyperbola is located at the origin. One focus is located at (0, 20), and its associated directrix is represented by the line y = . What is the equation of the hyperbola?

A parabola and its focus are shown on the graph. The vertex of the parabola is at (0,0).

An ellipse has vertices along the major axis at (0, 1) and (0, −9). The foci of the ellipse are located at (0, −1) and (0, −7). The equation of the ellipse is in the form below.

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Which equation represents a hyperbola with a center at (0, 0), a vertex at (−48, 0), and a focus at (50, 0)?

A point is on a circle if the distance from the center of the circle to the point is equal to the

What are the foci of the hyperbola whose equation is = 1?

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The graph of a hyperbola is shown.

A general formula for a parabola is x2=4py.What is the value of p in the equation x2=12y?

What are the vertices of the hyperbola whose equation is = 1?

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The graph of an ellipse is shown.

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What is the radius of a circle whose equation is (x + 5)2 + (y – 3)2 = 42?

A parabola with a vertex at (0,0) has a directrix that crosses the negative part of the y-axis.

Which graph represents the hyperbola = 1?

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units.The center of the circle lies on the x-axis.The center of the circle lies on the y-axis.The standard form of the equation is (x – 1)² + y² = 3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.