en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

(h, k) = (1, 0), a = 1, b = 2

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, 0), a = 1, b = 2

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, 0), b = 2, a = 1

Popular Examples

(x^2-4)/(6^2)+(y^2+4)/(2^2)=1

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

4(x-2)^2+(y-3)^2-1=0

4 (x - 2)^{2} + (y - 3)^{2} - 1 = 0

(((x-2)^2))/4+(((y-4)^2))/(16)=1

\frac{( ( x - 2 ) ^{2} )}{4} + \frac{( ( y - 4 ) ^{2} )}{16} = 1

((x-2)^2}{16}+\frac{(y-2)^2)/9 =1

\frac{( x - 2 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{9} = 1

(x+2)^2+32(y-4)^2=16

(x + 2)^{2} + 32 (y - 4)^{2} = 16

Frequently Asked Questions (FAQ)

What is (x-1)^2+(y^2)/4 =1 ?
The solution to (x-1)^2+(y^2)/4 =1 is Ellipse with (h,k)=(1,0),a=1,b=2