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.

Question

What is the equation when solved for a?

Answer 1

To solve the equation for \( a \), we start with the formula for the axis of symmetry:

\[ x = \frac{-b}{2a} \]

Now, we want to isolate \( a \). To do this, we can follow these steps:

1. Multiply both sides by \( 2a \) to eliminate the fraction:

\[ 2ax = -b \]

2. Next, we want to isolate \( a \). To do that, divide both sides by \( 2x \):

\[ a = \frac{-b}{2x} \]

So, the equation when solved for \( a \) is:

\[ a = \frac{-b}{2x} \]