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A hyperbola centered at (4, –1) has a vertex at (4, 6) and a focus at (4, 24). Write the equation of the hyperbola by completing the statements below. The quantity squared over a squared will be written first in the equation. The quantity squared over b squared will be written second in the equation. The value of a is . The value of b is .

Respuesta :

Answer:

1. y+1

2.x-4

3.7

4.24

Step-by-step explanation:

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The equation of the hyperbola formed by completing the statements is (x-4)²/6 - (y+1)²/24 = 1

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-line.

As we know the general formula of the hyperbola is:

(x-h)²/a² - (y-k)²/b² = 1, where

(h,k) is the center

a is the semi-major axis

b is the semi-minor axis

A hyperbola centered at (4, –1) has a vertex at (4, 6) and a focus at (4, 24).

In this situation, the equation is:

(x-4)²/6 - (y+1)²/24 = 1

a = 6

b = 24

Learn more about hyperbola;

https://brainly.com/question/11447250

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