Question

Find the vertex and length of the latus rectum for the parabola2x=y^2Vertex- x__ | y__Length of latus rectum__

Answer 1

Given

`y^2=2x`

Find

vertex and length of the latus rectum

Step-by-step explanation

Comparing this with standard equation

`y^2=4ax`

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