Is even function image always symmetric about y axis? Is odd function image always symmetric about origin? If y = f (x + 8) is an even function, the image is symmetric with respect to x = 8. If y = f (x + 8) is an odd function, the image is centrosymmetric with respect to point (8,0). Is there any special case? How to get f (x + 8) image from F (x) image F (x + 8) image to get the image of F (x),

Is even function image always symmetric about y axis? Is odd function image always symmetric about origin? If y = f (x + 8) is an even function, the image is symmetric with respect to x = 8. If y = f (x + 8) is an odd function, the image is centrosymmetric with respect to point (8,0). Is there any special case? How to get f (x + 8) image from F (x) image F (x + 8) image to get the image of F (x),

Even functions must be symmetric about the Y axis, odd functions must be symmetric about the origin
When y = f (x + 8) is an even function, the image is symmetric with respect to x = 8. When y = f (x + 8) is an odd function, the image is centrosymmetric with respect to point (8,0). This is also true
The f (x) image moves 8 units in the negative direction of the X axis to get the f (x + 8) image
The f (x + 8) image moves 8 units in the positive direction of the X axis to get the f (x) image,