Locate the Vertex: Analyzing y = x²

Find the vertex of the parabola

$y=x^2$

To find the vertex of the parabola $y = x^2$, we follow these steps:

• Step 1: Identify the coefficients from the equation $y = x^2$. Here, $a = 1$, $b = 0$, and $c = 0$.
• Step 2: Use the vertex formula $x = -\frac{b}{2a}$ to find the x-coordinate of the vertex. Substituting the values, we get:

Therefore, the x-coordinate of the vertex is $0$.

Step 3: Substitute $x = 0$ back into the equation to find the y-coordinate:

Thus, the y-coordinate of the vertex is also $0$.

Therefore, the vertex of the parabola $y = x^2$ is $(0,0)$.

The correct answer choice is: $(0,0)$.