Question

The black graph is the graph of

Answer 1

Step-by-step explanation:

the y values are still the same size as for the regular f(x).

so, answers c and d are out.

it is just that these same y values are happening in a more squeezed interval as for the regular f(x).

when we look at the endpoints for example, we find that

y = f(x) delivers y = -2 for x = 4

but the red function delivers y = -2 already for x = 2.

similar for y = 2, originally for x = 2, but in red for x = 1.

and for y = -1, originality for x = -2, but in red for x = -1.

let's call the original function black, and the new function red.

so, in other words red(2) = black(4)

red(1) = black(2)

red(-1) = black(-2)

=>

red(x) = black(2x)

and therefore, a. is correct