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25 September, 10:03

Which translation maps the vertex of the graph of the function f (x) = x2 onto the vertex of the function g (x) = - 8x + x2 + 7?

o left 4, down 9

O left 4, up 23

Oright 4, down 9

O right 4, up 23

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  1. 25 September, 13:35
    0
    Move right by 4 units and down by 9 units

    Step-by-step explanation:

    The vertex of the parabolic function f (x) = x² is at (0,0)

    Now, the parabolic function g (x) = - 8x + x² + 7 can be rearranged to vertex form.

    g (x) = x² - 8x + 16 + 7 - 16

    ⇒ g (x) = (x - 4) ² - 9

    ⇒ (x - 4) ² = (y + 9) {If y = g (x) }

    Therefore, the vertex of the parabolic function g (x) is at (4,-9).

    Therefore, we have to move right by 4 units and down by 9 units to reach from vertex of f (x) to vertex of g (x). (Answer)
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