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Senior high school mathematics needs four trigonometric functions to solve.
F(x)=sin(wx+y is an even function on r; F(0)= 1 or f(0)=- 1 (omitted because 0≤y≤π)

From sin(y)= 1,y =π/2;

So f(x)=sin(wx+π/2)=coswx image is symmetrical about point m (3π/4,0), and cosw(3π/4)=0.

W(3π/4)=π/2, so w=2/3.