Given: The foci $(-4,-4)$ and $(-4,10)$. A covertex $6√ 2$ units away from a focus. Write the equation of the ellipse in standard form.
How do you get the other data. I'm so confused. Do you do the distance formula for point P? Thanks in advance
Given: The foci $(-4,-4)$ and $(-4,10)$. A covertex $6√ 2$ units away from a focus. Write the equation of the ellipse in standard form.
How do you get the other data. I'm so confused. Do you do the distance formula for point P? Thanks in advance
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Remember that the sum of the two distances of any point on a ellipse to each focal point is constant.
Since you know the distance between a focal point and a covertex, you can derive what the sum of these distances (which is constant) should be equal to. From this you can find an expression for the major and minor axis, after which writing the standard form should be easy.