Respuesta :

Given

[tex]y^2=2x[/tex]

Find

vertex and length of the latus rectum

Explanation

Comparing this with standard equation

[tex]y^2=4ax[/tex]

vertex of parabola = (0 , 0)

here , 4ax=2x

4a = 2

a = 1/2

so , lactus ractum = 4a = 4(1/2) = 2

Final Answer

Therefore , vertex is (0 , 0) and length of the latus rectum is 2