(x-4)²/4 - (y+2)²/5 = 1

Step-by-step explanation:

• distance from vertex to center is the value of a

a = |6-4|

= |2|

a = 2

• distance from focus to center is the value of c

c = |7-4|

= |3|

c = 3

• b² = c² - a²

= 3² - 2²

= 9 - 4

b² = 5

orientation of the hyperbola:

» parallel to x - axis or along the horizontal

•standard equation of hyperbola:

(x - 4)² (y + 2)²

----------- - ------------ = 1

4 5

#hopeithelps (/^_^)/