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20 March, 08:45

For f (x) = x2 and g (x) = (x - 5) 2, in which direction and by how many units should f (x) be shifted to obtain g (x) ?

Up 5 units

Down 5 units

Left 5 units

Right 5 units

+3
Answers (1)
  1. 20 March, 11:29
    0
    The vertex form of a parabolic is this: g (x) = a (x - h) 2 + k where the (h, k) is the coordinates of the vertex.

    For f (x) = x2, the vertex is (0,0). For g (x) = (x-5) 2, the vertex is (5,0). Therefore f (x) is shifted

    Right 5 units

    to obtain g (x)
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