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

The solution to (x^2)/(a^2)-(y^2)/(b^2)=1 is Hyperbola with (h,k)=(0,0),a=a,b=b

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x^2)/(a^2)-(y^2)/(b^2)=1

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

(h, k) = (0, 0), a = a, b = b

Solution steps

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

Rewrite

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{a ^{2}} - \frac{( y - 0 ) ^{2}}{b ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = a, b = b

f (x) = x^{2} - 2 x

\frac{x ^{2}}{25} + \frac{y ^{2}}{9} = 1

x^{2} - \frac{y ^{2}}{16} = 1

f (x) = (x - 5) (x + 1)

x^{2} + (y - 4)^{2} = 4

What is (x^2)/(a^2)-(y^2)/(b^2)=1 ?
The solution to (x^2)/(a^2)-(y^2)/(b^2)=1 is Hyperbola with (h,k)=(0,0),a=a,b=b