Which statements about the hyperbola are true? Check all that apply.
There is a focus at (0, 4).
There is a vertex at (–4, 0).
There is a directrix units from the center.
There is an asymptote with a slope of
The center is (0,–1).

The correct option is A-There is a focus at (0, 4), C-There is a directrix is 9/5 unit from the center and E-The center is (0,–1) which are true statements for the given hyperbola.

What is hyperbola?

A hyperbola is the locus of a point that moves so that its distance from a fixed point is in a constant ratio, greater than one to its distance from a fixed point.

The fixed point is called the focus of the hyperbola. we can see in the figure that (0, 4) is a fixed point. so, the first statement is true for hyperbola.

The vertex is a point that lies on the curve of the hyperbola but we can see that (–4, 0) coordinates are out of the statement.

The fixed-line is called the directrix of the hyperbola. Since the directrix is 9/5 units from the center so the statement is true.

Since, the center of the hyperbola is (0,–1), the statement is true for the hyperbola.

Learn more about hyperbola;

https://brainly.com/question/16457232

Which statements about the hyperbola are true? Check all that apply. There is a focus at (0, 4). There is a vertex at (–4, 0). There is a directrix units from the center. There is an asymptote with a slope of The center is (0,–1).

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What is hyperbola?

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Which statements about the hyperbola are true? Check all that apply.
There is a focus at (0, 4).
There is a vertex at (–4, 0).
There is a directrix units from the center.
There is an asymptote with a slope of
The center is (0,–1).