Parametric equation of an ellipse

Can somebody please help me if the following is correct:

I must give parametric equations for the following ellipses:

1) 3x^2 + 5y^2 = 75

Since a=5 and b=sqrt(15), is this my correct answer:

x = 5 cos t

y = sqrt(15) sin t

2) 3x^2 + 12x + 5y^2 -10y -58 =0

Since a=5 and b=sqrt(15) like above mentioned, but this ellipse is transformed so that the new center became (-2, 1), then is it that the parametric equations became:

x= -2 + (5 cos t)

y= 1 + (sqrt(15) sin t)

Many thanks to someone who helps!

Brigitte