VideoFindtheequationoftheaxisofsymmetryfortheparabolay = x2.Simplify any numbers and write them as proper fractions, improper fractions, or integers.

Break Down the Problem

1. Identify the general form of a parabolic equation.
2. Determine the equation's vertex to find the axis of symmetry.

Relevant Concepts

1. The standard form of a parabola that opens upwards is given by: $y = ax^2 + bx + c$ The axis of symmetry for this parabola can be found using the formula: $x = -\frac{b}{2a}$

Analysis and Detail

1. For the given parabola $y = x^2$, we can identify the coefficients:

   • Here, $a = 1$ (the coefficient of $x^2$),
   • $b = 0$ (the coefficient of $x$),
   • $c = 0$ (the constant term).

2. Now, substituting the values of $a$ and $b$ into the axis of symmetry formula: $x = -\frac{0}{2 \cdot 1} = 0$

Verify and Summarize

The calculation is straightforward, and we see that the axis of symmetry occurs at $x = 0$, which is indeed correct for the parabola $y = x^2$.

Final Answer

The equation of the axis of symmetry for the parabola $y = x^2$ is: $x = 0$