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The vertex of a parabola is at $(6,5)$, and its axis of symmetry is vertical. One of the $x$-intercepts is at $(8, 0)$. What is the $x$-coordinate of the other $x$-intercept?

 Feb 12, 2022
 #1
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Using the symmetry of the parabola, the other x-intercept is at (10,0), so the answer is 10.

 Feb 12, 2022
 #2
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The axis of symmetry is the line:  x = 6.

Since one of the x-intercepts is (8,0) which is to the right of the line of symmetry,

the other intercept will be to the left of the line of symmetry:  (4,0).

 Feb 12, 2022

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