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

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 2

Option D.

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.