f(x)= 4sin (x−π)+3

Question

Solve the following:

1. amplitude
2. period
3. horizontal shift
4. periodical shift

step by step answers please

Answer 1

amplitude - This is the number in front of sin or cos, amplitude = 4

period - 2π/b b is 1 in this problem, it is after the sin or cos, before the parenthesis. period = 2π

horizontal shift - π units, the subtraction means it is to the right. Horizontal shift = π units right

periodical shift - the term is positive, periodical shift = 3 units up