briellelet briellelet
  • 25-05-2020
  • Mathematics
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If a parabola has x-intercepts of 3 and -5, what is the equation of it’s axis of symmetry

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altavistard
altavistard altavistard
  • 26-05-2020

Answer:

x = -1

Step-by-step explanation:

The x value of the axis of symmetry is precisely halfway between the two given x-intercepts:  -5 and 3 are 8 units apart.  Add half of 8 units, or 4 units, to -5, to obtain:

-5 + 4 = -1

The equation of the axis of symmetry is therefore x = -1.

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