Question 12 onlyyyyyyyy
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The equation of a hyperbola is /9 -
/4 = 1
What are the steps to Hyperbola equation ?
To find the equation of hyperbola, the following steps must be taken. You need to identify;
- The coordinate of the center
- The coordinate of the vertices
- The coordinate of the foci
The general equation of a hyperbola can be expressed as
/
-
/
= 1
From the graph, we have the following parameters
a = 3
=
= 9
b = 2
=
= 4
The equation of a hyperbola can be expressed as
/9 -
/4 = 1
The vertices = V(+/-a,0) = (+/-3,0)
The center = C(0,0)
The focus = F(+/-C, 0)
Where =
+
C =
C =
Focus = F(+/- , 0)
The general equation for asymptote = +/- b/a X
= +/-2/3X
Therefore, the equation of a hyperbola can be expressed as
/9 -
/4 = 1
Learn more about hyperbola here: brainly.com/question/3405939
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