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

Riley Hutchinson

Mathematics

15 February, 02:54

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) ?

+5

Answers (1)

Know the Answer?

Caitlin · 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.