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Popular >

center x^2-y^2=4x

Solution

center

x^{2} - y^{2} = 4 x

Solution

(2, 0)

Solution steps

x^{2} - y^{2} = 4 x

Rewrite

x^{2} - y^{2} = 4 x

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, 0), a = 2, b = 2

And the center is:

(2, 0)

Popular Examples

center x^2-16y^2=144 center

x^{2} - 16 y^{2} = 144

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

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

center-9x^2+y^2-72x-153=0 center

- 9 x^{2} + y^{2} - 72 x - 153 = 0

center ((x-3)^2)/(8^2)-((y-2)^2)/(8^2)=1 center

\frac{( x - 3 ) ^{2}}{8 ^{2}} - \frac{( y - 2 ) ^{2}}{8 ^{2}} = 1

center ((x+2)^2)/(36)-((y-3)^2)/(16)=1 center

\frac{( x + 2 ) ^{2}}{36} - \frac{( y - 3 ) ^{2}}{16} = 1

Frequently Asked Questions (FAQ)

What is the center x^2-y^2=4x ?
The center x^2-y^2=4x is (2,0)