作业帮若f(x)=2sin[(π/4)x+π/4] g(x)与f(x)关于直线x=2对称 求g(x)
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若f(x)=2sin[(π/4)x+π/4] g(x)与f(x)关于直线x=2对称 求g(x)
若f(x)=2sin[(π/4)x+π/4] g(x)与f(x)关于直线x=2对称 求g(x)
若f(x)=2sin[(π/4)x+π/4] g(x)与f(x)关于直线x=2对称 求g(x)
设P(x,y)是y=g(x)图像上任意一点
则P(x,y)关于x=2对称的点P‘（4-x,y）在y=f(x)的图像上,
∴ y=2sin[(π/4)(4-x)+π/4]=2sin[π-(π/4)x+π/4]
∴ y=2sin[(π/4)x-(π/4)]
即 g(x)=2sin([(π/4)x-(π/4)]