Solve −4(x + 1) − 3 = −3(x − 4).

−19
19
2
0

   -4(x + 1) - 3 = -3(x - 4)
-4(x) - 4(1) - 3 = -3(x) - 3(-4)
       -4x - 4 - 3 = -3x + 12
            -4x - 7 = -3x + 12
          + 4x       + 4x
                   -7 = x + 12
                - 12         -12
                 -19 = x

The answer is A.

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.