Question

How do the graphs of f(x)=|x| and g(x)=|5x| relate ?

a.
the graph of g(x) is the graph of f(x) compressed horizontally by a factor of 5
c.
The graph of g(x) is the graph of f(x) compressed horizontally by a factor of 1/5
b.
The graph of g(x) is the graph of f(x) compressed vertically by a factor of 5
d.
The graph of g(x) is the graph of f(x) compressed vertically by a factor of 1/5

Answer 1

The answer is a.

The reason for this is because the increased factor multiplying the x value leads to a steeper slope, so the y value climbs faster. This appears on a graph as if the function is slimmer than if it were simply |x|.

I hope this helps.