Question

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Answer 1

The equation of the parabola will be y = 1/8(x-  3)² - 4. Then the correct option is B.

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.

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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