Question

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

Answer 1

Answer:

focus is (1,0)

Step-by-step 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)

Answer 2

The focus is (1,0)  

Hope this helps!