Question

How does the graph of f (x) = |x| compare with the graph of g (x) = -1/2 |x|?

Answer 1

Answer:

The graph of f(x) = |x| is a v-shape and doesn't cross over the x-axis.

The graph of g(x) = -1/2|x| is still a v-shape, but it's upside-down and a bit wider. This is because of the coefficient in front of the |x|.  The negative sign flips the graph of |x| and the 1/2 makes the slope smaller, therefore the graph is less steep.

I've attached a picture of the two lines below!