Given 3y^2-4x=0, (a) find the focus, and (b) use the endpoints of the latus r****m to draw a sketch of the parabola
This is a sideways parabola
$$\\3y^2-4x=0\\\\y^2=\frac{4x}{3}\\\\y^2=4 \times \frac{1}{3}\times x\\\\$$
Focal length = 1/3
focus (1/3, 0)
Laus r****m is 4*1/3 long = 4/3
The ends of it will be (1/3, 2/3) and (1/3, -2/3)
