Question

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?

Answer 1

Answer:

2x

Step-by-step explanation:

Solve the equation for a as follows:

First multiply both sides by 2a:

$(2a)x=-b$ and then divide both sides by 2x:

$a=-\frac{b}{2x}$

Answer 2

The denominator will be equal to 2x.

What is coordinate geometry?

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that:-

• 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,

The value of the denominator will be:-

x    =   -b/2a

From the given information the expression will be written as

a  =  -b / 2x

Therefore the denominator will be equal to 2x.

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