Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

What is the vertex of a parabola in the form of the equation y=a(x – h)2 + k?

(a, k)

(a, h)

(h, k)

(h, –k)

3 Answers

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  • Anonymous
    9 years ago
    Favorite Answer

    (h, k)

    Explanation:

    y = a*(x – h)^2 + k

    If x = h, then

    y = a*(h – h)^2 + k

    y = a*(0)^2 + k

    y = k

    Notice that when the term a*(x – h)^2 = 0, y is a minimum at y = k. For example, if x = h + 1, then

    y = a*(x – h)^2 + k

    y = a*((h + 1) – h)^2 + k

    y = a*1^2 + k

    y = a + k

    Therefore, if a > 0 i.e. the parabola has upward orientation, then a + k > k. Therefore, y = k is the lowest value that y can take. As a result, (h, k) is the vertex of your parabola.

    In the other case, if a < 0 i.e. the parabola has downward orientation, then a + k < k. Therefore, y = k is the highest value that y can take. In either case, (h, k) is the vertex of the parabola.

    Source(s): Many math classes.
  • Anonymous
    9 years ago

    The correct answer is (h,k)

    I hope this helps!

    Source(s): Knowledge
  • 9 years ago

    (h, k)

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