Question

1.Graph the function . f(x)= sin (x) -2

Answer 1

Recall the following rule for function transformations:

Vertical shift by c units:

$f(x)\rightarrow f(x)+c$

Then, if we begin with the parent function sin(x), the graph of sin(x)-2 corresponds to a vertical shift 2 units down.

Then, to graph f(x)=sin(x)-2, start with the graph of the parent function sin(x) and shift it down by 2 units:

The graph of the parent function is shown as a blue, dotted line.

Therefore, the graph of the function f(x)=sin(x)-2 is: