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labwork [276]
3 years ago
11

What is the equation of a parabola with a vertex at (0, 0) and a focus at (0, 3).

Mathematics
2 answers:
Ivenika [448]3 years ago
6 0
Nice, so

parabola equation is
4P(x-h)=(y-k)^2 (sideways parabola) or
4P(y-k)=(x-h)^2 (up and down parabola)

it is a vertical parabola since the focus is directly above the vertex
P is the distance from the vertex to the focus which is 3
it is positive since the focus is above it
4(3)(y-k)=(x-h)^2
(h,k) is the vertex
vertex is 0,0
4(3)(y-0)=(x-0)^2
12y=x^2
y=(x^2)/12
AlexFokin [52]3 years ago
5 0

Answer:

C

Step-by-step explanation:

The correct answer on edge is x^=12y

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Please help and i have many more points!
Slav-nsk [51]

Answer:

its A im pretty sure

Step-by-step explanation:

8 0
3 years ago
2X+4=20+5X<br>A)1/2 B)-1/2 C)2 D)-2​
Nookie1986 [14]

Answer:

It seems that your options aren't correct as the right answer is -5.3333... (recurring)

Step-by-step explanation:

1)  2x + 4 = 20 + 5x   (subtract by the smallest unknown)

  -2x                  -2x

2)  4        = 20 + 3x

    -20      -20    (now subtract each side by 20 as we want to leave the unknown on one side and another number on the other side.

3) -16       = 3x   (Divide each side by 3)

   ÷3        = ÷3

4) -5.33333... = x

<h3>Now we have found x but if you're unsure you can substitute to see if your answer is correct.</h3><h3>2 x -5.3333 + 4 = -6.6666</h3><h3>20 + 5 x -5.3333= -6.6665</h3><h3>Our answer is correct! (When answers are rounded, it is equal to the same thing).</h3>
7 0
3 years ago
★write the pair of integer in which multiplication is -45 and difference is 12.
vladimir1956 [14]

Answer:

(3 and 15)

Step-by-step explanation:

If the product of both of these two numbers needs to be a negative 45 then there are no pair of integers that comply with both requirements.

If the multiplication in the question is wrong and it is a positive 45 then the pair of integers that would comply with these requirements would be (3 and 15). Multiplying this pair together would give you 45 and the difference between them is also 12 meaning it complies with both requirements that were asked for in the question.

5 0
3 years ago
H(x)=6 a linear function
shusha [124]
Yes, this is a constant function. This means that f(x) = c (c is a constant function) so no matter what the input is for h(x)=6 is, the output will be 6. Therefore this is a straight line with a slope of 0 and thus a linear function.
6 0
3 years ago
Which is the equation of the parabola?
mestny [16]

Answer:

  • y = -1/20(x + 3)²

Step-by-step explanation:

<u>Consider the parent function:</u>

  • y = x²

The graph of the function open up and the vertex is at the origin, the point (0, 0)

Now, if it opens down, it means it is a reflection of the parent function over x axis, hence it has a negative coefficient, the function becomes:

  • y = -x²

The vertex is shifted to the point (-3, 0). It means the function also translated left by 3 units, the function becomes:

  • y = -(x + 3)²

<u>Since all the options have 1/20 as a coefficient, our function is:</u>

  • y = -1/20(x + 3)²

This is option B

6 0
3 years ago
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