Question

Which is the focus of a parabola with equation y^2=4x

Answer 1

The focus is (1,0)

Hope this helps!

Answer 2

focus is (1,0)

Explanation:

the focus of a parabola with equation
`y^2=4x`

Focus point lies inside the parabola

To find the focus of a parabola we need to find the vertex

the distance between the focus and vertex is the value of p.

Focus point is (h+p,k)

Where (h,k) is the vertex

Given equation is in the form of
`(y-k)^2=4p(x-h)`

Given equation can be written as
`(y-0)^2=4(x-0)`

So the vertex is (0,0)

Now we find the value of p

`4p = 4`

So
`p=1`

Focus is (h+p,k) that is (1,0)