The given function is
[tex]f(x)=(x-1.5)^2[/tex]It is important to know that the function is in vertex form
[tex]f(x)=a(x-h)^2+k[/tex]Where h and k are the coordinates of the vertex.
Having said that, we can deduct that the vertex of the given function is (1.5, 0) because those are the values for h and k.