Question

Which of the following equations is of a parabola with a vertex at (0, 3)?

Answer 1

The General Equation of Parabola having vertex at (0,0) and Focus(a,0) and (0,a) is

$y^{2}= 4ax$ or $x^2 =4ay$

Now ,the Given equation of parabola having vertex at (0,3) is

x^2=y-3

It is 3 unit above y axis. So the parabola will open in the upward direction.

Out of all the options provided which are

1.y = (x - 3) ^2

2.y = (x + 3) ^2

3.y = x ^2 - 3

4.y = x^ 2 + 3

Option 4. y = x^ 2 + 3 is correct.