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Sauron [17]
3 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]3 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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Aneli [31]
The answers are A,B, and E. Hope this helps. :)
4 0
3 years ago
Solve for t.<br><br> -5 − 2t = 3t
allsm [11]
T is equal to -1.
  1. <em>Add 2t to both sides of the equation.</em> -5 = 5t
  2. <em>Divide both sides of the equation by -5.</em> 1 = -t
  3. <em>Multiply both sides of the equation by -1.</em> -1 = t
4 0
3 years ago
Read 2 more answers
I need the answer quick I have a time limit ( I only get an hour to complete the assignment heh )
Sedaia [141]

Answer:

C (the third table, from the second picture).

Step-by-step explanation:

First, we need to find the slope of the graph.

Two conspicuous points are (0, -3) and (2, 1).

The slope is: (1 - -3) / (2 - 0) = (1 + 3) / 2 = 4 / 2 = 2.

A: In the table, the y-values increase by 2, while the x-values increase by 4. 2 / 4 = 1 / 2 = 0.5. The slope is not the same as the graph.

B: In the table, the y-values decrease by 2, while the x-values increase by 4. -2 / 4 = -1 / 2 = -0.5. The slope is not the same as the graph.

C: In the table, the y-values increase by 4, while the x-values increase by 2. 4 / 2 = 2 / 1 = 2. The slope is the same as the graph, so C is your answer.

D: In the table, the y-values decrease by 4, while the x-values increase by 2. -4 / 2 = -2 / 1 = -2. The slope is not the same as the graph.

Hope this helps!

4 0
3 years ago
Find all possible values of k so that x^2 + kx - 32 can be factored.
daser333 [38]

Answer:

Step-by-step explanation:

The posssible factors are

x^2 + 4x - 32

(x+8)(x-4)

x^2+ 14x - 32

(x+16)(x-2)

(x+32)(x-1)

x^2+31x-32

8 0
3 years ago
Please help -2x++8-6=-32
arlik [135]

Answer:

x = 17

Step-by-step explanation:

-2x+8-6=-32

lets isolate the x variable:

-2x=-32-8+6

-2x = -34

x= -34/-2

x= 34/2

x= 17

3 0
3 years ago
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