Alan G. answered • 03/04/16

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(4)
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To answer a), use the distance formula with (x

_{1}, y_{1}) = (-7, 5) and (x_{2}, y_{2}) = (-3, 1):d = √[(x

_{2}- x_{1})^{2}+ (y_{2}- y_{1})^{2}] = √[(-3 - (-7))^{2}+ (1 - 5)^{2}] = √[4^{2}+ (-4)^{2}] = √(16 + 16) = √32 = 4√2 .You found the correct center by finding the midpoint of the given diameter.

For c), the point symmetric to the y-axis has the x-coordinate change in sign. So, that point would be (5, 3).