QUICK HELP?????

Question

eliminate the parameter for the following parametric equations show all work simplify as you can

x(t)=2squrt t

y(t)=4t^2+3

and

x(t)=3cost+1

y(t)=2sint-3

Answer 1

x = 2√t --> t = (x/2)² = x²/4

y = 4t²+3 --> y = 4(x²/4)²+3 = 4x⁴/16 + 3 = x⁴/4 + 3

x=3cost+1 --> t = arccos((x-1)/3)

y=2sint-3 --> y = 2sin(arccos((x-1)/3)) - 3 --> y = 2√(1-[(x-1)/3]²) - 3 --> y = 2√[1-(x-1)²/9] - 3

Hope this helped!