Answer:
See below
Step-by-step explanation:
<u>Parent function:</u>
<u>Transformed function:</u>
- y = 4(3)⁻²ˣ⁺⁸ + 6, (note. I see this as 8, sorry if different but it doesn't make any change to transformation method)
<u>Transformations to be applied:</u>
- f(x) → f(-x) reflection over y-axis
- f(-x) → f(-2x) stretch horizontally by a factor of 2
- f(-2x) → f(-2x + 8) translate 8 units right
- f(-2x + 8) → 4f(-2x + 8) stretch vertically by a factor of 4
- 4f(-2x + 8) → 4f(-2x + 8) + 6 translate 6 units up
Answer:
Ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279
Step-by-step explanation:
Let the number of red fish and blue fish in the large tank are x and y respectively.
Similarly ratio of red fish and blue fish in the small tank are x' and y' respectively.
Since in each tank ratio of the red fish to blue fish is 333 : 444
That means x : y = 333 : 444
Or 
⇒ 
⇒ y =
--------(1)
Similarly x' : y' = 333 : 444
⇒ 
⇒ 
⇒ x' =
------(2)
Ratio of the fish in large tank to the fish in small tank is 464646 : 555
So (x + y) : (x' + y') = 464646 : 555

Now we replace the values of x and y' from equation (1) and equation (2)







Therefore, ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279
Answer:256
Step-by-step explanation:To divide power of the same base,subtract the denominator's exponent.Subtract 4 from 7 to get 4.Then calculate 4 to the power of 4 and get 256
Answer:
b: a over b divided by do over c
Step-by-step explanation:
You can solve this by plugging in numbers for each variable.
For example: a=1, b=4, c=1, d=2
1/4 ÷ 1/2 = 0.125
If you plug in the numbers for all the equations listed, only 1/4 ÷ 2/1 = 0.125.
Answer:
The first one
Step-by-step explanation:
g(x) = ax² + bx + c
Point (0,0):
0 = a.0² + b.0 + c
c = 0
Point (2,1):
1 = a.2² + b.2 + c
4a + 2b + c = 1
But c = 0. Then:
4a + 2b = 1
Another point: (- 2, 1):
1 = a.(- 2)² + b.(- 2) + c
4a - 2b = 1
{4a + 2b = 1
{4a - 2b = 1
4a + 2b = 4a - 2b
4a - 4a = - 2b - 2b
- 4b = 0
b = 0
4a + 2b = 1
4a + 2.0 = 1
4a = 1
a = 1/4
The formula is:
g(x) = (1/4)x²
I hope I've helped you.