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find the vertex of the parabola ( y = x^2 ). simplify both coordinates …

\((0, 0)\)

分類: geometry 更新時間: 2026-02-04

題目

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

解題步驟

  1. Understand the question

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

  2. 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 \( k = 0 \).

  3. Final answer

    \((0, 0)\)

答案

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

\((0, 0)\)

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Question Analysis

Subject mathematics
Sub Subject geometry
Education Level high school
Difficulty unspecified
Question Type calculation
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-04T03:05:02

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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

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