Question

The vertex of the parabola $(y+a{)}^2=8a(x-a)$ is

• A. (-a,-a)
• B. (a,-a)
• C. (-a,a)
• D. none of these

Answer 1

The correct option is B

(a,-a)

The equation of the parabola is $(y+a{)}^2=8a(x-a)$

Putting X=x-a,Y=y+a

$Y^2=8aX$

Vertex = (X=0,Y=0)=(x-a=a,y+a=0)=(x=a,y=-a)

Hence, the vertex is at (a,-a).