best answer > How do you find the vertex of a quadratic equation?- QuesHub | Better Than Quora
The most authoritative answer in 2024
  • Benjamin Sanchez——Works at the International Seabed Authority, Lives in Kingston, Jamaica.

    Hello! As an expert in mathematics, I can certainly help you understand how to find the vertex of a quadratic equation. A quadratic equation is typically written in the form \( ax^2 + bx + c = 0 \), where \( a \), \( b \), and \( c \) are constants, and \( x \) is the variable.

    The vertex form of a quadratic equation is given by \( y = a(x - h)^2 + k \), where \( (h, k) \) is the vertex of the parabola. To find the vertex, you can use the following steps:

    1. Identify the coefficients \( a \), \( b \), and \( c \) from the quadratic equation.
    2. Calculate the x-coordinate of the vertex using the formula \( h = -\frac{b}{2a} \).
    3. Substitute \( h \) back into the original equation to find the y-coordinate \( k \).
    4. The vertex \( (h, k) \) is then the point where the parabola changes direction.

    Now, let's translate this into Chinese:

    大家好!作为数学领域的专家,我可以帮助你理解如何找到二次方程的顶点。二次方程通常以形式 \( ax^2 + bx + c = 0 \) 写成,其中 \( a \),\( b \) 和 \( c \) 是常数,\( x \) 是变量。

    二次方程的顶点形式由 \( y = a(x - h)^2 + k \) 给出,其中 \( (h, k) \) 是抛物线的顶点。要找到顶点,你可以使用以下步骤:

    1. 从二次方程中识别出系数 \( a \),\( b \) 和 \( c \)。
    2. 使用公式 \( h = -\frac{b}{2a} \) 计算顶点的 x坐标
    3. 将 \( h \) 代入原方程以找到 y坐标 \( k \)。
    4. 然后顶点 \( (h, k) \) 就是抛物线改变方向的点。

    read more >>
  • Owen Edwards——Works at Snapchat, Lives in Los Angeles, CA

    (The vertex formula is derived from the completing-the-square process, just as is the Quadratic Formula. In each case, memorization is probably simpler than completing the square.) For a given quadratic y = ax2 + bx + c, the vertex (h, k) is found by computing h = �Cb/2a, and then evaluating y at h to find k.read more >>
    +119962023-04-17 08:03:58

About “vertex form、x-coordinate、y-coordinate”,people ask:

READ MORE:

QuesHub is a place where questions meet answers, it is more authentic than Quora, but you still need to discern the answers provided by the respondents.

分享到

取消