17. The amplitude is 2. Each wavelength is 6. When x = 0, y = 1.
The only one that matches x = 0, y = 1 is e, f(x) = 1 + sin x since all the others don't satisfy this condition.
19. f(x) = 2x^2 + 3
f(x+h) = 2(x+h)^2 + 3 = 2x^2 + 4xh + 2h^2 + 3 -->
2x^2 + 4xh + 2h^2 + 3 - (2x^2 + 3) / h -->
4xh + 2h^2 / h -->
b, 4x + 2h.
17. The amplitude is 2. Each wavelength is 6. When x = 0, y = 1.
The only one that matches x = 0, y = 1 is e, f(x) = 1 + sin x since all the others don't satisfy this condition.
19. f(x) = 2x^2 + 3
f(x+h) = 2(x+h)^2 + 3 = 2x^2 + 4xh + 2h^2 + 3 -->
2x^2 + 4xh + 2h^2 + 3 - (2x^2 + 3) / h -->
4xh + 2h^2 / h -->
b, 4x + 2h.
You don't really need to worry about the amplitude and wavelength (period)..the "1" out in front of 1 + sinx tells us that it's a sine graph shifted up 1 unit and none of the graph will lie below the x axis.......all the other graphs (answers) will have pieces that lie below the x axis...