Find the vertex, focus, and directrix for the parabola. y=1/2x^2

Cristofer Graves

Cristofer Graves

Answered question

2022-07-27

Find the vertex, focus, and directrix for the parabola.
y = 1 2 x 2

Answer & Explanation

agyalapi60

agyalapi60

Beginner2022-07-28Added 17 answers

equation of parabola
y = x 2 / 2
x 2 = 2 y
x 2 = 4 ( 1 / 2 ) y
vertex = (0,0);
focus = (0,1/2);
equation of directrix is y + (1/2) = 0
( 2 y + 1 ) / 2 = 0
2 y + 1 = 0

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?