Question

The focus of a parabola is located at (4,0), and the directrix is located at x = –4.

Answer 1

The equation to the focus of a parabola is located at (4,0), and the directrix is located at x = –4...
y^2=16x

Hope this helps

Answer 2

Answer with explanation:

A parabola is the locus of all the points such that distance from a fixed point called focus to distance from a fixed line is always constant equal to 1.

Let locus of all the point be (p,q).

`\rightarrow √((p-4)^2+(q-0)^2)=p+4\\\\ \rightarrow \text{Squaring both sides}\\\\\rightarrow p^2+16-8 p+q^2=p^2+8 p+16\\\\\rightarrow q^2=8 p+8 p\\\\\rightarrow q^2=16 p\\\\\rightarrow y^2=16 x`

Required equation of Parabola:

y²=16 x