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)?

ALeft 3 units
BRight 3 units
CUp 3 units
DDown 3 units

Verified Answer :

Look at the picture.

\(f(x)=x^2;\ g(x)=(x-3)^2\\\\Answer:\boxed{B.\ Right\ 3\ units}\)

View image dalendrk

The number of units is (b) right 3 units

How to determine the direction?

The functions are given as:

f(x) = x^2

g(x) = (x - 3)^2

The above functions represent a horizontal translation from f(x) to g(x)

The -3 in g(x) implies a right direction

Hence, the number of units is (b) right 3 units

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