Python – Sympy Curve.translate() method

In Sympy, the function Curve.translate() is used translate the given curve by the given values of x, y. It translates the curve along with both the directions i.e. along x-axis and y-axis.

Syntax: Curve.translate(x, y)

Parameters:
x: translation value along x-axis
y: translation value along y-axis

Returns: Translated Curve

Example #1:

# import Curve, parameter and interpolate
from sympy.geometry.curve import Curve
from sympy.abc import t
from sympy import interpolate

# using interpolate() and Curve()
C1 = Curve((t, interpolate([1, 4, 9, 16], t)), (t, 0, 1));
print(C1)

# using translate()
C2 = C1.translate(2, 3)
print(C2)

Output:

Curve((t, t**2), (t, 0, 1))  
Curve((t + 2, t**2 + 3), (t, 0, 1))

Example #2:

# import Curve and parameter
from sympy.geometry.curve import Curve
from sympy.abc import x

# using Curve()
C1 = Curve((x, x), (x, 0, 1));
print(C1)

# using translate()
C2 = C1.translate(1, 2)
print(C2)

Output:

Curve((x, x), (x, 0, 1))  
Curve((x + 1, x + 2), (x, 0, 1))