Question

What type of transformation takes the graph of f(x) Ixl to the graph of g(x) = 2.5 1x|? O vertical translation of 2.5 units down O vertical compression by a factor of 2.5 O vertical stretch by a factor of 2.5 O vertical translation of 2.5 units up

Answer 1

Vertical Stretch by a factor of 2.5

1) Considering that we have a parent function f(x)= |x| and its transformed one: g(x) = 2.5|x| we can state that there is a factor 2.5 on the parent function that makes the following transformation:

Notice that the g(x) function has been Vertically Stretched by a 2.5 factor

2) Hence, the answer is Vertical Stretch by a factor of 2.5