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Answer 1

The equation of a hyperbola is  $x^{2}$/9 - $y^{2}$/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

$x^{2}$/$a^{2}$ - $y^{2}$/$b^{2}$ = 1

From the graph, we have the following parameters

a = 3

$a^{2}$ = $3^{2}$ = 9

b = 2

$b^{2}$ = $2^{2}$ = 4

The equation of a hyperbola can be expressed as

$x^{2}$/9 - $y^{2}$/4 = 1

The vertices = V(+/-a,0) = (+/-3,0)

The center = C(0,0)

The focus = F(+/-C, 0)

Where $C^{2}$ = $a^{2}$  + $b^{2}$

C = $\sqrt{9 + 4}$

C = $\sqrt{13}$

Focus = F(+/- $\sqrt{13}$, 0)

The general equation for asymptote = +/- b/a X

= +/-2/3X

Therefore, the equation of a hyperbola can be expressed as

$x^{2}$/9 - $y^{2}$/4 = 1

Learn more about hyperbola here: brainly.com/question/3405939

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