[tex]y = x^{3} +3[/tex]
Subtract 3 from both sides,
[tex]y-3=x^{3}[/tex]
Let x = X and y - 3 = Y
Then,
[tex]Y = X^{3}[/tex]
So, we have shifted the origin to a point (0, 3).
This is an odd function and the graph of an odd function is symmetrical about the origin.
That is, symmetrical about X = 0, Y = 0
Symmetrical about x = 0,, y - 3 = 0
Symmetrical about x = 0, y = 3.
Hence, the graph is symmetrical about the point (0, 3).
