Question

The equation of parabola whose vertex and focus are (0, 4) and (0,2) respectively, is

• A. $y^2-8x=32$
  
• B. $y^2+8x=32$
  
• C. $x^2+8y=32$
• D. $x^2-8y=32$

Answer 1

The correct option is C $x^2+8y=32$

Vertex (0, 4); focus (0, 2); $\therefore a=2$
Hence it is an upward facing parabola. So the equation of the parabola will be of the form
$x^2=-4ay$
Hence parabola is $(x-0{)}^2=-4.2(y-4)i.e.,x^2+8y=32$