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19 January, 07:30

Michelle needs to convert the function f (x) = x2 - 10x + 31 to vertex form, fx) = (x - 1) 2 + k, in order to find the minimum.

When she does this, what is the value of k in the vertex form of function?

26

56

31

6

+5
Answers (1)
  1. 19 January, 09:22
    0
    To find k

    You can do

    C-a ((b/2) ^2))

    This is because when you complete the square you have the c value that you have initially minus the new c value which is found by (b/2) ^2 and if you factored a number out then multiply it to that.

    So in this case

    31 - 1 (10/2) ^2

    31 - (5) ^2

    31-25

    6
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