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Sauron [17]
2 years ago
14

The directrix of a parabola is y=−4y=−4 . The focus of the parabola is (−2,−2)(−2,−2) .

Mathematics
1 answer:
salantis [7]2 years ago
6 0
Refer to the diagram shown below.

The directrix is y = -4 and the focus is (-2, -2).
Therefore the vertex is at (-2, -3).

Consider an arbitrary point (x,y) on the parabola.
The square of distance from the focus to the point is
(x+2)² + (y+2)²
The square of the distance from the point to the directrix is
(y+4)²

Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3

Answer: y =  \frac{1}{4} (x+2)^{2} - 3

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{{Geomotry}} <br> please I need help! My math grade depends on it! ;w;
lozanna [386]
This basically means that you have to multiply the x and y values by 3. So 2 time 3 is 6. And -7 times 3 is -21. So the new coordinations are (6, -21)

Hope this helped and pls mark as brainliest!

~ Luna
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It costs a clothing company $463.45 to make 169 T-shirts.
Artemon [7]

Answer:

The unit price for 1 T-shirt is about $2.74.

Step-by-step explanation:

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Divide both sides by 169:

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Round to the nearest cent:

x = 2.74

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2 years ago
Is this complementary, linear pair, vertical, or adjacent?
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