Question

find the vertex of the parabola $y = x^2$. simplify both coordinates and write them as proper fractions, improper fractions, or integers. (\boxed{}, \boxed{})

Explanation:

Step1: Recall vertex form of parabola

The vertex form of a parabola is $y=a(x-h)^2+k$, where $(h,k)$ is the vertex.

Step2: Rewrite given equation to vertex form

The given equation $y=x^2$ can be rewritten as $y=1(x-0)^2+0$.

Step3: Identify vertex coordinates

Compare with vertex form: $h=0$, $k=0$.

Answer:

$(0, 0)$