The correct answer is (x - 2)² = 12(y - k) so option A is the correct answer.
<h3>What is a parabola?</h3>
A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A point and a line are used in one definition of a parabola.
Given data is as follows:-
- The line x = 2 is the axis of symmetry for a parabola.
- vertex of parabola = (2,0)
The equation of the parabola will be given as:-
The focus of the parabola is located at 3 units from the vertex.
The equation of the parabola can be:-
y - k = 12 ( x - 2 )²
Therefore the correct answer is (x - 2)² = 12(y - k) so option A is the correct answer.
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