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3 years ago

What equation represents a parabola with a focus of (0,4) and a directrix of y=2

Mathematics

1 answer:

scZoUnD [109]3 years ago

7 0

We know that

Any point (x,y) on the parabola is equidistant from the focus and the directrix

Therefore,

focus (0,4) and directrix of y=2

√[(x−0)²+(y−4)²]=y−(2)

√[x²+(y-4)²]=y-2

x²+(y-4)²=(y-2)²

x²+y²-8y+16=y²-4y+4

x²=4y-12-----> 4y=x²+12----->y= (x²/4)+3

the answer is

y= (x²/4)+3

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natta225 [31]

Answer:

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Step-by-step explanation:

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2 years ago

(02.06 LC)

marta [7]

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3 years ago

Read 2 more answers

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leonid [27]

Answer:

slope = - $\frac{1}{3}$

Step-by-step explanation:

given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are

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2 years ago

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2 years ago