Equations of Hyperbolas — Unit test Answers

The equation represents a hyperbola centered at the origin with a focus of (0,-10). What is the value of b?

What is the center of a circle represented by the equation (x−5)2+(y+6)2=42?

One focus of a hyperbola is located at (−1, 7). One vertex of the hyperbola is located at (−1, 5). The center is (−1, −3).What is the equation of the hyperbola?

The foci and the vertices of the hyperbola are labeled.

What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?

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Which features describe the graph of =1? Select two options.a focus at (104, 0)a focus at (0,−96)a vertex at (−40, 0)a vertex at (0, 96)the center at (0, 0)

The graph of a hyperbola is shown.

A parabola and its directrix are shown on the graph.

Which graph represents the equation x2 = 8y?

What is the positive slope of the asymptote of = 1? The positive slope of the asymptote is .

The graph of an ellipse is shown.

Two circles are concentric if they have the same center.

A parabola has a vertex at the origin. The focus of the parabola is located at (–2,0).

On a coordinate plane, a parabola opens to the left. It has a vertex at (0, 0), a focus at (negative 2, 0), and a directrix at x = 2.