Answer
The option B is the right answer because the vertex is (4,3)
Step-by-step explanation:
In the canonical equation of the parabola:
(X-h) ^ 2 = 4p (y-k)
The values (h, k) correspond to the coordinates (x, y) of the vertex.
In the definition of the problem it is said that the guideline of the parabola is the X axis, that is, the line Y = 0 and the focus is the point (4,6).
If the vertex were the point (4.6) the correct option would be option D
But the vertex is located at the midpoint of the segment defined by the focus points (4, 6) and the point (4, 0) that is on the parabola directrix. therefore, as the vertex is the point (4.3). the correct option is B.
