Question

Choose the graph of y = -4 cot x.

Answer 1

Suppose y= cot x is our parent function then remember general rules of transformation.

1) y= -f(x), reflects the graph of f(x) across x-axis.

2) y= cf(x), stretches the graph of f vertically by factor of c , for c >1.

Now, apply these rules to y= -4 cot(x)

the -ve sign reflects the graph of cot(x) across x-axis and the number 4 will stretch it vertically by 4 units.

The graph of both parent function (y=cot x ) and transformed function (y= -4 cot(x)) are attached below.