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fgiga [73]
3 years ago
14

Select the graph that correctly represents ƒ(x) = –2(x + 4)2 – 1.Find the equation of the parabola with its focus at (3,4) and i

ts directrix y = 0.
Mathematics
1 answer:
IgorC [24]3 years ago
3 0

Answer:

Equation of parabola:  8*(y - 2) = (x - 3)^2

or

y = (1/8)*(x - 3)^2 + 2

Step-by-step explanation:

focus at (3,4) and its directrix y = 0.

Focus equation:  (h, k + c) = (3, 4)

Directrix equation  y =  k - c = 0

so  h = 3,   k + c = 4,   k - c = 0

Solve  the system :  k + c = 4 and k - c = 0

add the equations together:     k + c + k - c = 4 + 0

2k = 4

k = 2

so   k + c = 4,    2 + c = 4,   c = 2

4c (y - k) = (x -  h)^2

4*2 *(y - 2) = (x - 3)^2

8*(y - 2) = (x - 3)^2

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3 years ago
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Jason's bank account balance was $300. He paid of his bills. Now, his account balance is -$50. Which equation can be used to fin
Katyanochek1 [597]

Answer: -50= 300- X

Step-by-step explanation:

Solving the equation:

Subtract 300 from both sides, which gives you -350= -X. Divide by -1 and get x=350. His bills were 350 dollars, which can be stated using the equation I put in the answer.

I hope this helped.

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3 years ago
This is the 6th time i've asked this question. i'm so desperate, please help me!
OverLord2011 [107]

Answer:

Look at explanation.

Step-by-step explanation:

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Subtract.<br> 5x – 6x+2<br> - 1-2x - x - 2)
adell [148]

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makvit [3.9K]

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