Question

Which statement about the hyperbola is true?

The point (3.6, 0) is the directrix.

The point (−3.6, 0) is the center.

The point (2, 0) is a focus.

The point (−2, 0) is a vertex.

Answer 1

The correct is D

Explanation:

Answer 2

The point (−2, 0) is a vertex

Explanation:

We are given graph of hyperbola

so, firstly we will draw standard hyperbola graph

we can compare with our given graph

and then we can identify focus , vertex and center

after that we can verify which one is true

Center = (0,0)

Vertex= (-2,0) and (2,0)

Focus= (-3.6 ,0) and (3.6 ,0)

So, correct values are

The point (−2, 0) is a vertex

So, answer is

The point (−2, 0) is a vertex