The equation of the parabola will be y = 1/8(x- 3)² - 4. Then the correct option is B.
<h3>What is the parabola?</h3>
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.
Identify the vertex, focus, and directrix of the graph.
Then the equations representing the parabola in the graph will be
y = a(x - h)² + k
Then the vertex is at (3, -4). Then we have
y = a(x - 3)² - 4
For x = 0, the value of y will be -2.875.
-2.875 = a(0 - 3)² - 4
a = 1/8
Then the equation of the parabola will be
y = 1/8(x- 3)² - 4
Thus, the correct option is B.
More about the parabola link is given below.
brainly.com/question/8495504
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