## Intermediate Algebra for College Students (7th Edition)

Parabola can be defined as the set of all points situated in a plane that are at the same distance from a fixed line which is known as directrix and a fixed point, known as focus. Standard form of a horizontal parabola is $x=a(y-k)^2+h$ and Standard form of a vertical parabola is $y=a(x-h)^2+k$ Here, vertex:$(h,k) or (k,h)$ when the variable $x$ is squared and the coefficient positive it defines upwards open parabola and variable $x$ is squared and the coefficient is negative it defines downward open parabola. Also, when the variable $y$ is squared and the coefficient positive it defines at open to the right parabola and variable $y$ is squared and the coefficient is negative it defines at open to the left parabola.