Question

Which function represents the graph of f(x)=|2x| after it is translated 5 units to the left?

g(x)=|2(x−5)|

g(x)=|2x+5|

g(x)=|2x−5|

g(x)=|2(x+5)|

Answer 1

g(x) = |2(x+5)|

Explanation:

To translate a function left 5 units, replace x with (x+5). In this function, that means

2x ⇒ 2(x+5) . . . . . matches the last choice