Question

The graph of f(x) is the solid black graph below. Which function represents the dotted graph?a: y=f(x-4)-4b: y=f(x-4)+4c: y=f(x+4)+4d: y=f(x+4)-4

Answer 1

We have the following:

we can know the result, evaluating the point (0,0)

`\begin{gathered} y=f\mleft(0-4\mright)-4=-8 \\ y=f\mleft(0-4\mright)+4=0 \\ y=f\mleft(0+4\mright)+4=8 \\ y=f\mleft(0+4\mright)-4​=0 \end{gathered}`

the answer lies between points b and c.

Now,

to know the answer we must see the dotted and dim line, which starts from x = -4, therefore the correct answer is option b.