Hi I have a question. Two points on a parabola is (-4,-1) and (-10,-1). what is the equation of the axis of symmetry? how do you find it?

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If you analyse this you would see,

when x = -4, y = -1

and x = -10 also, y = -1

That means at -4 and -10,  the parabola has same value and it is symmetrical in the middle point of [-4,-10] range.

The middle point is = (-4...

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If you analyse this you would see,

when x = -4, y = -1

and x = -10 also, y = -1

That means at -4 and -10,  the parabola has same value and it is symmetrical in the middle point of [-4,-10] range.

The middle point is = (-4 -10)/2

                            = -7

Therefore the axis of symmetry is x = -7 or x+7 =0

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