Question

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

A. y=(x-3)²
B. y=(x+3)²
C. y=x²-3
D. y=x²+3

Answer 1

The equation of the parabola with a vertex at (0, 3) is y = ax^2 + 3. The correct option is D.

Step-by-step explanation:

The equation of a parabola with a vertex at (0, 3) can be written in the form y = a(x-h)^2 + k, where (h, k) is the vertex of the parabola. In this case, the vertex is (0, 3) so the equation should be of the form y = a(x-0)^2 + 3, which simplifies to y = ax^2 + 3.

Among the given options, the equation that matches this form is y = x^2 + 3, so the answer is D.