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Katena32 [7]
2 years ago
15

Center at the origin

Mathematics
1 answer:
Lunna [17]2 years ago
3 0
The answer is:
-4x+6y=c
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Help if you can do this please
olga nikolaevna [1]

Answer:

Step-by-step explanation:

a. Since the parabola is compressed by a factor of 1/3 we can state:

  • a parabola is written this way : y=(x-h)²+k
  • h stands for the translation to the left ⇒ 2*3=6
  • k for the units down  ⇒4*3=12

So the equation is : y=(x-6)²+12

b.Here the parabola is stretched by a factor of 2 so we must multiply by 1/2

  • We khow that a parabola is written this way : y=(x-h)²+k
  • (h,k) are the coordinates of the vertex
  • the maximum value is  7*0.5=3.5
  • we khow tha the derivative of a quadratic function is null in the maximum value
  • so let's derivate (x-h)²+k= x²+h²-2xh+k
  • f'(x)= 2x-2h    h is 1 since the axe of simmetry is x=1
  • f'(x)=2x-2 ⇒2x-2=0⇒ x= 1
  • Now we khow that 1 is the point where the derivative is null
  • f(1)=3.5
  • 3.5=(x-1)²+k
  • 3.5= (1-1)²+k⇒ k=3.5

So the equation is : y=(x-1)²+3.5

7.

the maximum height is where the derivative equals 0

  • h= -5.25(t-4)²+86
  • h= -5.25(t²-8t+16)+86
  • h=-5.25t²+42t-84+86
  • h=-5.25t²+42t+2

Let's derivate it :

  • f(x)= -10.5t+42
  • -10.5t+42=0
  • 42=10.5t
  • t= 42/10.5=4

When the height was at max t=4s

  • h(max)= -5.25(4-4)²+86 = 86 m

h was 86m

8 0
2 years ago
Using 1, 3, 5, 9, and 9 create a problem in which the answer equals 5. You may use operations more than once.
harkovskaia [24]

you add 1+9 which would be 10 then minus 5 which would be 5

8 0
3 years ago
Read 2 more answers
Could I have gotten this right or is this wrong
insens350 [35]
You are very correct
5 0
2 years ago
-m + 5n = -2, for n <br>​
MakcuM [25]

Answer:

<h2><u><em>n = 1/5m + (-2)/5</em></u></h2>

Step-by-step explanation:

-m + 5n = -2, for n

-m + 5n = -2

-m +5n + m = -2 + m

5n = m - 2

5n/5 = (m-2)/5

n = 1/5m + (-2)/5

6 0
2 years ago
Your mom hands you a stack of utensils to set the table for a dinner party for nine people. If each place setting includes three
Annette [7]

Answer:

C. x= 27

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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