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14 May, 05:01

Suppose the equation of the axis of symmetry for a quadratic function is x = - 1 and one of the x-intercepts is 7. What is the other x-intercept?

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  1. 14 May, 05:08
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    The graph of a quadratic function is a parabola.

    The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x coordinate of the vertex is the equation of the axis of symmetry of the parabola.

    Taking into account the definition above, then the other intersection with x will be:

    horizontal distance between the axis of symmetry and intersection with x:

    d = 7 - ( - 1) = 7 + 1 = 8

    The second intersection will then be:

    x2 = - 1-8 = - 9

    Answer:

    the other x-intercept is:

    x2 = - 9
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