The standard form of the equation of an ellipse centered at (h, k) with major and minor axes of lengths 2a and 2b (Where 0 < b < a) is \ \
or
. \ \
\
The ellipse centered (h, k) = (4, 1).
\
The substitute h = 4, k = 1 values on above equation.
\
or 
\
To find out the final equation, we need to any information for a, b.