The function given is:
It is required to find the graph of f(5x).
Recall that the graph of f(kx) for k>1 is the horizontal compression or shrink of the graph of f(x) by k units. The graph is compressed horizontally towards the y-axis.
Graph the given function f(x)=x³+3:
Compress the graph horizontally by k=5 units as shown below:
The required graph is:
The graph that best fits this is graph 4.
The answer is gra