Question

The axis of symmetry for a quadratic equation can be found using the formula x = , 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

Suppose we have a quadratic equation of the form:

$ax ^ 2 + bx + c$

The axis of symmetry of the parabola is given by:

 $x = - \frac{b}{2a}$

From here, we must clear the value of a.

For this, we follow the following steps:

1) Pass 2a multiplying to the other side of the equation:

 $2ax = -b$

2) Clear the value of a by passing 2x to divide:

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

Answer:

The denominator of the fraction is 2x.

Answer 2

X = -b/2a 
multiply both sides by 2a 
2ax = -b 
divide both sides by 2x: 
a = -b/2x to make a positive b in the numerator, make the denominator negative: 
a = b/-2x 
answer is b.) -2x 

P = mgh 
divide both sides by mg: 
P/mg = h 

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