A curve G G\,G has parametric equations
x=3cost,y=2−4sin2t0≤t≤2π x = 3 \cos t, \quad y = 2 - 4 \sin^2 t \quad 0 \leq t \leq 2\pi x=3cost,y=2−4sin2t0≤t≤2πFind an equation for G G\,G in the form y=f(x)y = f(x)y=f(x) and state the domain for which the curve is defined.
Sketch the curve
