Question

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

Explanation:

Step1: Recall the vertex form of a parabola

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

Step2: Rewrite the given equation in vertex form

The given equation is \( y = x^2 \). We can rewrite it as \( y = 1(x - 0)^2 + 0 \).
By comparing with the vertex form \( y = a(x - h)^2 + k \), we can see that \( h = 0 \) and \( k = 0 \).

Answer:

\((0, 0)\)