What is the axis 36x^2+288x+64y^2-256y=1472 ?

The axis 36x^2+288x+64y^2-256y=1472 is semi-major axis a=8, semi-minor axis b=6

Popular >

axis 36x^2+288x+64y^2-256y=1472

axis

36 x^{2} + 288 x + 64 y^{2} - 256 y = 1472

semi - major axis a = 8, semi - minor axis b = 6

Solution steps

36 x^{2} + 288 x + 64 y^{2} - 256 y = 1472

Rewrite

36 x^{2} + 288 x + 64 y^{2} - 256 y = 1472

in the form of the standard ellipse equation

\frac{( x - ( - 4 ) ) ^{2}}{8 ^{2}} + \frac{( y - 2 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 4, 2), a = 8, b = 6

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 4, 2), a = 8, b = 6

\frac{x ^{2}}{100} + \frac{y ^{2}}{36} = 1

9 x^{2} + 4 y^{2} - 18 x + 16 y - 11 = 0

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 1

\frac{x ^{2}}{25} + \frac{y ^{2}}{4} = 1

\frac{( x - 2 ) ^{2}}{36} + \frac{( y + 1 ) ^{2}}{25} = 1

What is the axis 36x^2+288x+64y^2-256y=1472 ?
The axis 36x^2+288x+64y^2-256y=1472 is semi-major axis a=8, semi-minor axis b=6