Question

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

y = (x - 3) ^2

y = (x + 3) ^2

y = x ^2 - 3

y = x^ 2 + 3

Answer 1

y = x^ 2 + 3

Explanation:

Answer 2

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.