1) Answer:
<u>Explanation:</u>
The equation of an ellipse is: ; where (h, k) is the center, "a" is the x-radius, and "b" is the y-radius.
Center Radius
x-axis: (10 + -10)/2 = 0 10 - 0 = 10
- h = 0 a = 10
y-axis: (2 + -2)/2 = 0 2 - 0 = 2
- k = 0 b = 2
Now, input the values into the equation:
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2) Answer:
<u>Explanation:</u>
Vertices are: (0, 1) and (0, -5) ------> x-values are the same, y = 1, -5
Covertices are: (-1, -2) and (1, -2) ----> y-values are the same, x = -1, 1
Center Radius
x-axis: (-1 + 1)/2 = 0 1 - 0 = 1
- h = 0 a = 1
y-axis: (1 + -5)/2 = -2 1 - (-2) = 3
- k = -2 b = 3
Now, input the values into the equation: