Which quadratic function has a vertex point of (3,5) and passes through the point (-2,55)?

Question

Which quadratic function has a vertex point of (3,5) and passes through the
point (-2,55)?

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Orla Orla 4 years 2021-08-27T06:28:06+00:00 1 Answers 40 views 0

Answers ( )

  1. Jezebel
    0
    2021-08-27T06:29:51+00:00
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    9514 1404 393

    Answer:

      f(x) = 2(x -3)² +5

    Step-by-step explanation:

    For vertex (h, k) and scale factor ‘a’, the vertex form is …

      f(x) = a(x -h)² +k

    We can fill in the values of h and k from your vertex, and use the values of the extra point to find ‘a’.

      55 = a(-2 -3)² +5

      50 = 25a . . . . . . . . subtract 5

      a = 2 . . . . . . . . . . . divide by 25

    So, the function is …

      f(x) = 2(x -3)² +5

    __

    In standard form, that will be …

      f(x) = 2x² -12x +23

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )