What is ((x-1)^2)/4-(y-1)^2=1 ?

The solution to ((x-1)^2)/4-(y-1)^2=1 is Hyperbola with (h,k)=(1,1),a=2,b=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

((x-1)^2)/4-(y-1)^2=1

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

(h, k) = (1, 1), a = 2, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, 1), a = 2, b = 1

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

\frac{( x - 6 ) ^{2}}{4} - \frac{( y + 7 ) ^{2}}{36} = 1

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

\frac{( y + 3 ) ^{2}}{( 64 )} - \frac{( x - 2 ) ^{(2)}}{( 84 )} = 1

5 x^{2} - 4 y^{2} - 20 x + 8 y - 4 = 0

What is ((x-1)^2)/4-(y-1)^2=1 ?
The solution to ((x-1)^2)/4-(y-1)^2=1 is Hyperbola with (h,k)=(1,1),a=2,b=1