The axis of symmetry for a quadratic equation can be found using the formula x = -b/2a , where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane.

When the equation is solved for a, such that b is the numerator of the resulting fraction, what is the denominator of the fraction?

2x

–2x

1/2x

–1/2x

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Verified Answer :

scme1702 scme1702 · Answer 1 · 2016-12-15T13:34:36-05:00

x = - b/2a
Solving for a,

a = -b/2x

If b is the numerator, the denominator is -2x
The second option is correct.

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PratikshaS PratikshaS · Answer 2 · 2022-06-24T04:57:09-04:00

The denominator of the fraction is -2x.

The correct answer is option (b)

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

"In a fraction, the value placed above the horizontal line."

"In a fraction, the value placed below the horizontal line."

For given question,

The axis of symmetry for a quadratic equation can be found using the formula \(x=-\frac{b}{2a}\)

where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane.

\(\Rightarrow x=\frac{-b}{2a}\\\\ \Rightarrow \frac{a}{x} \times x=\frac{-b}{2a}\times \frac{a}{x}\\\\\Rightarrow a=\frac{b}{-2x}\)

For the fraction \(\frac{b}{-2x}\) the numerator is b and denominator is -2x.

Therefore, the denominator of the fraction is -2x.

The correct answer is option (b)

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