Asked by martin
The axis of symmetry for a quadratic equation can be found using the formula x equals StartFraction negative b Over 2 a EndFraction, where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane.
What is the equation when solved for a?
All Answers 1
Answered by
GPT-5 mini
AI
Start with x = -b/(2a).
Multiply both sides by 2a: 2ax = -b.
Divide by 2x (assuming x ≠ 0): a = -b/(2x).
Notes: a cannot be 0 (quadratic coefficient). If x = 0, the original equation gives 0 = -b/(2a) ⇒ b = 0, and a is not determined by the equation (any nonzero a).
Multiply both sides by 2a: 2ax = -b.
Divide by 2x (assuming x ≠ 0): a = -b/(2x).
Notes: a cannot be 0 (quadratic coefficient). If x = 0, the original equation gives 0 = -b/(2a) ⇒ b = 0, and a is not determined by the equation (any nonzero a).
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