Question

Function g can be thought of as a translated (shifted) version of f(X)=|x|

Answer 1

A

Explanation:

given f(x) then f(x ± a ) is a horizontal translation of f(x)

• if - a , then a shift right of a units

• if + a , then a shift left of a units

here f(x) has been shifted 7 units right , then the partial form is

g(x) = | x - 7 |

given f(x) then f(x) ± c is a vertical shift of f(x)

• if + c , then a shift up of c units

• if - c , then a shift down of c units

here f(x) has been shifted up by 4 units

then

g(x) = | x - 7 | + 4