The circle x2+y2=36 is translated 5 Units left and 4 units up where is the center of the new circle after the translation

The general equation of a circle is given by:

(x-a) ^2 + (x-b) ^2=r^2

where:

(a, b) is the center

r is the radius

given the equation:

x^2+y^2=36

it means that the equation is centered at (0,0) with radius of 6 units. Thus a translation of 5 units to the left and 4 units up, will change the new center to

(-5,4)

thus the equation will be:

(x+5) ^2 + (y-4) ^2=36

Answer: (x+5) ^2 + (y-4) ^2=36