HELP! what type of equation does the rectangular form y=4(square root of 2x/3)-1 describe???

Answer 1

y = 4√(2x/3) - 1
y+1 = 4√(2x/3)
just square both sides and you have

y^2+2y+1 = 16(2x/3)

That is clearly a parabola opening to the right.