Axis of symmetry from factored form
Find the axis of symmetry of a parabola given its equation in factored form. Unlimited questions, five difficulty levels, and a full worked solution every time, included free with weekly lessons.
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A parabola has equation y = (x - 3)(x - 4). What is the axis of symmetry?
Answer: 3.5
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A parabola has equation y = (x + 1)(x + 5). What is the axis of symmetry?
📘 Worked solution
1Zeros: x = −1 and x = −5Setting each factor to zero gives the x-intercepts of the parabola.
2Axis of symmetry: x = (−1 + −5) / 2 = −3The parabola is symmetric, so its axis is midway between the two zeros.
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