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For the graph of a certain quadratic y = ax^2 + bx + c, the vertex of the parabola is (3,7) and one of the x-intercepts is (-2,0). What is the x-coordinate of the other x-intercept?

 Oct 5, 2019
 #1
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The points on a quadratic are symetrical around the axix of symetry, which on this paroabola would be the vertical line containg the point (3,7) so the line x=3.

 

(-2,0) is 5 units away horizontaly from the axis of symetry, so the other x intercept will also be 5 units away, so (3+5,0) or (8,0) is the other x intercept, as shown by the attached graph.

https://www.desmos.com/calculator/qk486go8lu

 Oct 6, 2019

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