Step 1) The vertex of the parabola is (0,2). Thus, the vertex formula a-(h^2)/4a can be used.
Step 2) Plugging in the known vertex coordinates (0,2) into the vertex formula, we get:
2 = a - (0^2)/4a
2= a
Step 3) Therefore, the equation of the parabola is y = 2 - x^2
So the equation of the function is:
y = 2 - x^2