Question

已知函数f(x)=sin^2*x+更号3*sinx*cosx+2cos^2*x.(2）函数f(x)的图像由函数y=sin

Answer 1

f(x)=(sin²x+cos²x)+√3sinxcosx+cos²x

=1+√3/2*sin2x+(1+cos2x)/2

=√3/2sin2x+1/2*cos2x+3/2

=sin2xcosπ/6+cos2xsinπ/6+3/2

=sin(2x+π/6)+3/2

=sin[2(x+π/12)]+3/2

所以向左移π/12单位

然后把横坐标缩小成原来的1/2

最后再向上移3/2个单位