Precalculus: change equation in polar form

Question

1. x^2=4y
2. 4x^2 y =1

Answer 1

1. r²cos²θ = 4rsinθ; r = 4tanθsecθ
2. 4r²cos²θ·rsinθ = 1; r³ = 1/(4sin²θcosθ)

Answer 2

r sin θ = x

r cox θ = y

Substitute and simplify.