What is (x-2)^2-(y+3)^2=13 ?

The solution to (x-2)^2-(y+3)^2=13 is Hyperbola with (h,k)=(2,-3),a=sqrt(13),b=sqrt(13)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-2)^2-(y+3)^2=13

(x - 2)^{2} - (y + 3)^{2} = 13

(h, k) = (2, - 3), a = 13, b = 13

Solution steps

(x - 2)^{2} - (y + 3)^{2} = 13

Rewrite

(x - 2)^{2} - (y + 3)^{2} = 13

in the form of a standard hyperbola equation

\frac{( x - 2 ) ^{2}}{( 13 ) ^{2}} - \frac{( y - ( - 3 ) ) ^{2}}{( 13 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, - 3), a = 13, b = 13

\frac{( x - 6 ) ^{2}}{4} - \frac{( y + 6 ) ^{2}}{81} = 1

x^{2} - y^{2} - 8 x - 4 y - 61 = 0

x^{2} - y^{2} + x - \frac{1}{2} y + 1 = 0

9 x^{2} - y^{2} + 72 x + 108 = 0

\frac{3 r ^{2}}{t + 2} \geq 5 t

What is (x-2)^2-(y+3)^2=13 ?
The solution to (x-2)^2-(y+3)^2=13 is Hyperbola with (h,k)=(2,-3),a=sqrt(13),b=sqrt(13)