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Elan Coil [88]
3 years ago
9

Write the equation for a parabola with a vertex of (-5,-4) and a focus of (-5,-2)

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
4 0

The equation of the parabola is (x + 5)² = 8(y + 4)

Step-by-step explanation:

Let us revise the equation of the parabola in standard form

  • The standard form is (x - h)² = 4p(y - k)
  • The vertex is (h , k)
  • The focus is (h, k + p)

∵ The vertex of the parabola is (-5 , -4)

- The coordinates of the vertex are (h , k)

∴ h = -5 and k = -4

∵ The focus is (-5 , -2)

- The focus is (h , k + p)

∴ k + p = -2

∵ k = -4

∴ -4 + p = -2

- Add 4 to both sides

∴ p = 2

- Substitute the values of h , k , p in the form of the equation

∵ The equation of the parabola is (x - h)² = 4p(y - k)

∴ (x - -5)² = 4(2)(y - -4)

∴ (x + 5)² = 8(y + 4)

The equation of the parabola is (x + 5)² = 8(y + 4)

Learn more:

You can learn more about the quadratic equation in brainly.com/question/9390381

#LearnwithBrainly

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Answer:

6  socks

Step-by-step explanation:

What we must do is calculate the probability of this happening, that he takes out two black socks in the first two taken out.

There are 12 black socks and in total they are 24, therefore the probability of drawing 1 is:

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the final probability is the multiplication of these events:

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Now, to know how many you should get, we multiply the probability by the total number of socks, that is:

0.24 * 24 = 5.76

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4 years ago
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Identify the coordinates that result when the point (−4, 5), is translated 8 units right and 3 units down. HELP ASAP!
pochemuha

Answer:

The answer is (4,2)

Step-by-step explanation:

in the point (-4,5) X=-4 AND Y=5

so if you move 8 units right, the X increases by 8(because the  the x axis is left and right) so X transform into 4= -4+8=4

With Y(the y axis is up and down) whe u go 3 units down un decrease the number so Y transforms into 2== 5-3=2

The new coordiantes are(4,2)

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Posttest
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Answer:

a) y=2x+4 b) 2 c) 6 d) Sorry, you'll have to do that buy it's not too difficult! ^u^

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

1a) Well, if you add the y to both sides, you would get y=2x+4

1b) Since the main form is y=mx+b with m being the slope, the slope in y=2x+4 must be 2

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(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

Please, please give brainliest, it would be greatly appreciated, I only need one more before I advance, thanks!

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