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Elina [12.6K]
3 years ago
9

Review the graph of g(x).

Mathematics
1 answer:
alina1380 [7]3 years ago
8 0

Answer:

The answer is C

Step-by-step explanation:

I just got done with the unit test review

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Using a directrix of y = −3 and a focus of (2, 1), what quadratic function is created?
Lelechka [254]

Answer:

  y=\dfrac{1}{8}(x-2)^2-1

Step-by-step explanation:

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The vertex is half that distance between the point and the line, so is at x=2 and ...

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The vertical scale factor of the quadratic is 1/(4p) where p is the distance from vertex to focus. Here, that distance is 2, so the equation in vertex form is ...

  y = (1/(4·2))(x -2)² -1

  y = (1/8)(x -2)² -1

_____

<em>Check</em>

Any point on the parabola is equidistant from the focus and directrix. This is easily checked at the vertex, which is halfway between focus and directrix, and at the points having the same y-value as the focus. Those two points are (-2, 1) and (6, 1), both of which are 4 units from the focus and 4 units from the directrix.

5 0
3 years ago
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