A：${\left(x-\frac{3}{2}\right)}^2=16$

B：$2{\left(x-\frac{3}{4}\right)}^2=\frac{1}{16}$

C：${\left(x-\frac{3}{4}\right)}^2=\frac{1}{16}$

D：${\left(x-\frac{3}{2}\right)}^2=\frac{1}{16}$