SOLUTION: A chord passing through the focus of the parabola y^2 = 8x has one end at the point (8,8) . Where is the other end of the chord?

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Question 998658: A chord passing through the focus of the parabola y^2 = 8x has one end at the point (8,8) . Where is the other end of the chord?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Symmetry knowledge of this parabola can help.
y%5E2+=+8x
Concave to the right, x-axis is the axis of symmetry. Focus is on the x-axis and to the right of 0, the origin. Endpoint of the chord going through the focus, the other endpoint of the chord will be on the other side of the x-axis by the same distance. Given endpoint is (8,8); and therefore the other endpoint is (8,-8).


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Equation is written x as a function of y, and the y is squared; so this means horizontal symmetry axis, and the equation as written is for vertex at the origin.