Find the length of the major axis of the ellipse described by the equation:the quantity of x plus 2 squared plus y squared over one fourth equals 1

Find the length of the major axis of the ellipse described by the equationthe quantity of x plus 2 squared plus y squared over one fourth equals 1 class=

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Solution

We have the following equation:

[tex](x+2)^2+\frac{y^2}{\frac{1}{4}}=1[/tex]

And we can rewrite the expression like this:

[tex]\frac{(x+2)^2}{1}+\frac{y^2}{\frac{1}{4}}=1[/tex]

then the major axis would be given by:

[tex]\sqrt[]{1}=1[/tex]

1 (Horizontal axis)