Continuing ellipses

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Find the equation of the ellipse with the following properties. The ellipse with foci at (4, 0) and (-4, 0); y-intercepts (0, 3) and (0, -3).

x^2/16 + y^2/9 = 1

Find the equation of the ellipse with the following properties. The ellipse with x-intercepts (5, 0) and (-5, 0); y-intercepts (0, 3) and (0, -3).

x^2/25 + y^2/9 = 1

Find the equation of the ellipse with the following properties. The ellipse with foci at (0, 6) and (0, -6); y-intercepts (0, 8) and (0, -8).

x^2/28 + y^2/64 = 1

Find the equation of the ellipse with the following properties. The ellipse with x-intercepts (2, 0) and (-2, 0); y-intercepts (0, 4) and (0, -4).

x^2/4 + y^2/16 = 1

Which of the following is the general equation of an ellipse?

x^2/a^2 + y^2/b^2 = 1

(x-3)^2 /9 + (y-6)^2 /16 = 1 The distance from the center to the foci is:

√7

9x2 + 25y2 = 225 The foci are:

(-4, 0) and (4, 0)

36x2 + 49y2 = 1,764 The foci are located at:

(-√13, 0) and (√13,0)

9x2+4y2 = 36 The foci are located at:

(0, -√5) and (0, √5)

(x-3)^2 /9 + (y-6)^2 /16 = 1 The endpoints of the major axis are:

(3, 2) and (3, 10)

(x-3)^2 /9 + (y-6)^2 /16 = 1 The center of the ellipse is at:

(3,6)

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