The equation of the parabola will be y = x² – 6x + 9. Then the correct option is C.
The complete question is attached below.
What is the parabola?
It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The vertex of the parabola is at (3, 0). Then the equation of the parabola will be
y = (x – 3)² + 0
Then open the bracket, we have
y = x² – 6x + 9
Then the correct option is C.
More about the parabola link is given below.
https://brainly.com/question/8495504
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