Chapter 10 - Analytic Geometry - 10.1 Parabolas - 10.1 Exercises - Page 967: 35

$${y^2} = 20x$$

$$\eqalign{ & {\text{Focus }}\left( {5,0} \right){\text{ and vertex }}\left( {0,0} \right) \cr & {\text{The focus of a parabola of the form }}{y^2} = 4px{\text{ is }}\left( {p,0} \right) \cr & {\text{Focus }}\left( {5,0} \right) \cr & {\text{Then }}p = 5 \cr & {\text{And the equation is:}} \cr & {y^2} = 4px \cr & {y^2} = 4\left( 5 \right)x \cr & {y^2} = 20x \cr} $$