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TEA [102]
3 years ago
9

Using the given information write the equation of parabolas:

Mathematics
1 answer:
lana [24]3 years ago
8 0

The general form of the equation we need to find is (x - h)^2 = 4p(y- k).

The center is the distance between the directrix and focus.

So, center (h, k) = (3, 3/2) .

P = distance from center to the focus and it just so happens to be 1.5.

We now plug everything into the formula given above.

(x - 3)^2 = 4(1.5)(y - 3/2)

(x - 3)^2 = 6(y - 3/2)

Done!

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Answer:

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Answer:

<em>k</em><em>/</em><em>4</em><em> </em><em>+</em><em> </em><em>3</em><em> </em><em>=</em><em> </em><em>1</em><em>4</em>

<em>k</em><em> </em><em>=</em><em> </em><em>4</em><em>4</em>

Step-by-step explanation:

<em>S</em><em>t</em><em>e</em><em>p</em><em> </em><em>1</em><em>:</em><em> </em><em>k</em><em> </em><em>+</em><em> </em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>5</em><em>6</em>

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<em>S</em><em>t</em><em>e</em><em>p</em><em> </em><em>3</em><em>:</em><em> </em><em>k</em><em> </em><em>=</em><em> </em><em>4</em><em>4</em>

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3 years ago
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