find the equation of the axis of symmetry for the parabola y = x². simplify any numbers and write them as…

find the equation of the axis of symmetry for the parabola y = x². simplify any numbers and write them as proper fractions, improper fractions, or integers.

find the equation of the axis of symmetry for the parabola y = x². simplify any numbers and write them as proper fractions, improper fractions, or integers.

Answer

Explanation:

Step1: Recall axis - of - symmetry formula

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

Step2: Identify coefficients

For the parabola $y=x^{2}$, we have $a = 1$, $b = 0$, and $c = 0$.

Step3: Calculate axis - of - symmetry

Substitute $a = 1$ and $b = 0$ into the formula $x=-\frac{b}{2a}$. We get $x=-\frac{0}{2\times1}=0$.

Answer:

$x = 0$