WHY IS NOBODY ANSWERING!! PARABOLAS

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4. See explanation

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Step-by-step explanation:

1. The equation of given parabola is

The vertex of this parabola is at point (1,-3), this parabola goes in positive x-direction and has the parameter such that

The directrix is the vertical line. The equation of the directrix is

2. The vertex of the parabola is at point (-5,2), the focus is at point (-5,6), this means that the vertex and the focus both lie on the vertical line x = -5. This line is the line of symmetry of the parabola. Thus, parabola goes in positive y-direction and has the equation

To find the parameter note that the distance between vertex and focus is equal to hence,

and the equation of the parabola is

3. Given the equation

Rewrite this equation as follows

4. Given the equation of the parabola

The vertex of the parabola is at point (3,-1).

The parabola opens to the right.

Parabola's parameter is , so the focus is units away from the vertex.

The directrix is units away from the focus.

The focus is at the point and the directrix has the equation

5. The distance between the directrix and the focus is

units.

The directrix is to the right from the focus, so parabola opens to the left and has the equation

where is the vertex.

The vertex is the point that is half way from the focus to the directrix, hence

So, the equation is

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

what