Using translation concepts, it is found that the equation that represents the new function is:
The cube root parent function is given by:
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
<h3>Translation:</h3>
The function goes through these following translations:
- Vertically stretched by a factor of 3, that is, it is multiplied by 3, hence
![y = 3\sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%203%5Csqrt%5B3%5D%7Bx%7D)
.
- Reflected over the x-axis, that is, it is multiplied by -1, hence
![y = -3\sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20-3%5Csqrt%5B3%5D%7Bx%7D)
.
- Translated 8 units down, that is, 8 is subtracted from the function, hence
![y = -3\sqrt[3]{x} - 8](https://tex.z-dn.net/?f=y%20%3D%20-3%5Csqrt%5B3%5D%7Bx%7D%20-%208)
.
Then, the equation is:
To learn more about translation concepts, you can take a look at brainly.com/question/13671886
Pretty sure it’s D good luck
9514 1404 393
Answer:
4n
Step-by-step explanation:
We observe that each output is 4 times the corresponding input. Then 4 times n will be ...
Input: n
Output: 4n
(4 times 4 times 5) + (5 times 10 times 8) = 480 in cubed.
The volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.
Option C is the correct answer.
<h3>What is the volume of the sphere?</h3>
The volume of the sphere is the amount of space occupied within the sphere.
Volume of sphere is expressed as;
V = (4/3)πr³
Where r is the radius and π is pi ( π = 3.14 )
Given that;
- Diameter of the sphere d = 18cm
- Radius r = d/2 = 18cm/2 = 9cm
- Constant pi π = 3.14
- Volume V = ?
V = (4/3)πr³
V = (4/3) × 3.14 × 9cm)³
V = (4/3) × 3.14 × 729cm³
V = 3052.1cm³
Therefore, the volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.
Option C is the correct answer.
Learn more about volume of hemisphere here: brainly.com/question/3362286
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