Respuesta :
The formula for a parabola is (y-k)=(x-h)^2, or y = (x-h)^2 + k, where (h,k) is the vertex. If h=0 and k=3, then the parabola would be y = x^2 + 3
Answer:
Option D.
Step-by-step explanation:
We have to find the equation of the parabola which has vertex at ( 0,3 )
If we write the equation of a parabola in the vertex from then we will write
y = ( x - h )² + (k)²
In this equation ( h, k) will be the vertex.
(a) y = (x-3)² + 0
so ( 3,0) will be the vertex
(b) y = ( x+3)² + 0
or y = [x - (-3)]² + 0
then ( -3,0) will be the vertex
(c) y = (x² - 3)
y = ( x-0 )² + (-3)
then ( 0, -3) is the vertex.
(d) y = x² + 3
y = ( x-0 )² + 3
Then ( 0, 3 ) will be the vertex of this parabola.
Option D. is the answer.
