Question

F(x)= 2lxl? (graphing absolute values) I'm a little confused.

Answer 1

I see. Imagine you have f(x)=|x|. It's a V shaped graph.

Now if f(x)=|x|, 2f(x)=2|x|.

Graph Transformation Rule:

af(x), multiply y-coordinates by a.

*Ultimately, you'd still have a V shaped graph in 2f(x)=2|x|, but the y values of all the coordinates in f(x)=|x| would have to be multiplied by 2 giving you 2f(x)=2|x|.

Answer 2

F(x) = 2|x| = |2x|

Draw a graph y = 2x
for x = 0 ⇒ y = 2 × 0 = 0 ⇒ (0;0)
for x = 2 ⇒ y = 2 × 2 = 4 ⇒ (2;4)

next:
we turn symmetrically part of the graph below the x-axis

Look at the pictures.