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).
[tex]\rightarrow \sqrt{(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[/tex]
Required equation of Parabola:
y²=16 x
