For f (x) = x2 and g (x) = (x - 3) 2, in which direction and by how many units should f (x) be shifted to obtain g (x) ?

Question

Mathematics

Sosa

22 November, 06:55

For f (x) = x2 and g (x) = (x - 3) 2, in which direction and by how many units should f (x) be shifted to obtain g (x) ?

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Answers (1)

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Eduardo Hardy · Answer 1

F (x) = x²

g (x) = (x-3) ²

g (x) is a perfect square.

x² should be shifted to the left by 3 units. This is because of (x-3) ²

as you can see negative 3 is present. The negative sign means shifting x to the left by 3 units.