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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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2 years ago
what is the value of the reciprocal of $\frac{-2}{5}$? express your answer as a decimal to the nearest tenth.
olga2289 [7]

The reciprocal of -2/5, expressed as a decimal to the nearest tenth is: -2.5.

<h3>What is the Reciprocal of a Number?</h3>

The reciprocal of a number can be described as the inverse of that number. For example, if a is given as a real number, therefore, the reciprocal of a would be 1/a.

Another example is a/b. The reciprocal of a/b is b/a.

Thus, the reciprocal of -2/5 is -5/2.

Expressing this as a decimal, we would have:

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brainly.com/question/20896748

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