# How do you find the standard form of 2x=2y^2-28 and what kind of a conic is it?

the General Form: ${y}^{2} - x - 14 = 0$
the Standard Form or Vertex Form :${\left(y - 0\right)}^{2} = \left(x - - 14\right)$

#### Explanation:

it is a parabola which opens to the right
with center $C \left(h , k\right) = \left(- 14 , 0\right)$
Directrix : $x = - \frac{57}{4}$
Focus:$\left(- \frac{55}{4} , 0\right)$

graph{2x=2y^2-28[-20,20,-10,10]}

God bless .... I hope the explanation is useful..