Can someone check my answers for the following questions? Thank you.
1)which is the equation of an ellipse with center (-4,2) and a horizontal major axis?
(x-h)^2/a^2+(y-k)^2/b^2=1 is the equation for an ellipse, where (h,k) is the center, a is the semimajor axis, and b is the semiminor axis.
(x+4)^2/a^2 + (y-2)^2/b^2 = 1 a>b
With the minimum information you gave, that is all we can tell so far.
Yes, I can help you check your answer for the equation of an ellipse with a center of (-4,2) and a horizontal major axis.
To find the equation of an ellipse, we need to know a few key pieces of information: the center of the ellipse, the lengths of the major and minor axes, and whether the major axis is horizontal or vertical.
For a horizontal major axis, the standard form of the equation of an ellipse is:
((x-h)^2 / a^2) + ((y-k)^2 / b^2) = 1
where (h,k) is the center of the ellipse, 'a' is the semi-major axis (half the length of the major axis), and 'b' is the semi-minor axis (half the length of the minor axis).
In this case, the center is (-4,2), so h = -4 and k = 2. We also know that the major axis is horizontal, which means 'a' will be the longer length.
Therefore, we need to determine the values of 'a' and 'b' to complete the equation. If you have those values, please provide them and I can help you finalize the equation and verify your answer.