Question

Identify the transformation of the function f(x)=|x| by observing the equation of the function g(x)=|x+3|

Answer 1

a horizontal translation by 3 units left

Explanation:

f(x)= |x|

we are given with absolute function f(x)

g(x) = |x+3|

To get g(x) from f(x) , 3 is added with x

If any number is added with x then the graph of the function move to the left

Here 3 is added with x, so the graph of f(x) moves 3 units left to get g(x)

So there will be a horizontal translation by 3 units