find the equation of the axis of symmetry for the parabola ( y = x^{2} ).\nsimplify any numbers and write…

Explanation:

Step1: Recall the formula for the axis of symmetry

For a parabola in the form (y = ax^{2}+bx + c), the axis of symmetry is given by (x=-\frac{b}{2a}).

Step2: Identify (a) and (b) in the given equation

In the equation (y=x^{2}), we can rewrite it as (y = 1x^{2}+0x+0). So (a = 1) and (b = 0).

Step3: Substitute (a) and (b) into the formula

Substitute (a = 1) and (b = 0) into (x=-\frac{b}{2a}). We get (x=-\frac{0}{2\times1}).

Step4: Simplify the expression

Since (\frac{0}{2\times1}=0), the equation of the axis of symmetry is (x = 0).

Answer:

(x = 0)