What is 4(x-1)^2+y^2=36 ?

The solution to 4(x-1)^2+y^2=36 is Ellipse with (h,k)=(1,0),a=3,b=6

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4(x-1)^2+y^2=36

4 (x - 1)^{2} + y^{2} = 36

(h, k) = (1, 0), a = 3, b = 6

Solution steps

4 (x - 1)^{2} + y^{2} = 36

Rewrite

4 (x - 1)^{2} + y^{2} = 36

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{3 ^{2}} + \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, 0), a = 3, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, 0), b = 6, a = 3

What is 4(x-1)^2+y^2=36 ?
The solution to 4(x-1)^2+y^2=36 is Ellipse with (h,k)=(1,0),a=3,b=6