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Complete the square to find the vertex of each quadratic function. State the vertex. (10 marks)

A) f(x) = x2 + 8x – 3

B) f(x) = x2 – 5x + 8

C) f(x) = 2x2 – 12x + 1

D) f(x) = 3x2 + 2x – 5

  • math -

    I will do one, you do the others.
    You will learn how to do these only by doing lots of them

    c)
    f(x) = 2x^2 - 12x + 1
    = 2(x^2 - 6x + ..... ) + 1
    = 2(x^2 - 6x + 9 - 9 ) + 1
    = 2( (x-3)^2 - 9) + 1
    = 2(x-3)^2 - 18 + 1
    = 2(x-3)^2 - 17

    vertex is (3, -17)

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