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If a parabola has x-intercept s at (-1,0) and (5,0), then the line of symmetry must be...

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The line of symmetry of a parabola is always halfway between its x-intercepts. The x-intercepts are -1 and 5 in this case.

To find the line of symmetry, we use the formula x = (x1 + x2) / 2, where x1 and x2 are the x-intercepts.

First, add the two x-intercepts: -1 + 5 = 4.

Next, divide this sum by 2: 4 / 2 = 2.

Therefore, the equation of the line of symmetry for the given parabola is x = 2. This means the line of symmetry is the vertical line passing through x = 2 on the coordinate plane.

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