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Step-by-step explanation:

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The equation of the parabola is y = (x - 1)² - 4. Then the vertex of the parabola is at (1, -4) and the parabola passes through (0, -1) and (0, 3).

What is the parabola?

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The equation is given below.

y = (x + 1)(x - 3)

We know that the equation is a parabolic equation.

And the value of y at -1 and 3 is zero.

The equation can be written as

y = x² - 2x -3

y = (x - 1)² - 4

And the vertex of the parabola is at (1, -4).

The graph is shown below.

More about the parabola link is given below.

https://brainly.com/question/8495504

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