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=x2-3
y= x2 + 3

Answer 1

`y=x^(2)+3`

Explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

`y=a(x-h)^(2)+k`

where

(h,k) is the vertex

In this problem we have the vertex at point (0,3)

substitute

`y=a(x-0)^(2)+3`

`y=ax^(2)+3`

therefore

The option
`y=x^(2)+3` is the answer

In this case the coefficient a is equal to 1