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
Answer:
the common ratio is 0.98.
Step-by-step explanation:
A fish population in a lake decreases by 2% each year. We are asked to find the common ratio.
The decrease of population of fish 2% annually means the population becomes next year 100% - 2% = 98%
Therefore, the common ratio would be 98%. Upon converting 98 percent to a decimal we will get,
98% = 
Therefore, the common ratio or decay factor is 0.98.
Answer:
The volume of water bottle Francisco takes to school = 1.0048 liters
Step-by-step explanation:
The dimensions of the water bottle are given :
The Height of the water bottle is 20 cm
⇒ h = 20 cm
The Radius of the water bottle is 4 cm
⇒ r = 4 cm
⇒ Volume of the water bottle = π·r²·h
⇒ Volume = 3.14 × 4² × 20
⇒ Volume = 1004.8 cm³
Now, 1000 cm³ = 1 liter
⇒ 1004.8 cm³ = 1.0048 liter
Hence, The volume of water bottle Francisco takes to school = 1.0048 liters
Answer:
20-x; -20+x; -20-x; 20+x
Step-by-step explanation:
|14-x+6|
|20-x|
20-x; -20+x; -20-x; 20+x
Answer:
ASA
Step-by-step explanation:
Triangle ABD is congruent to triangle BDC by ASA because angle B in ABD is 30 degrees. Then they give you BD which equals BD by the reflexive property. And finally angle D in ABD is also 30 degrees. In triangle BCD, angle B is 30 degrees, BD = BD, and angle D in BCD is 30 degress. So we have an angle (B), side (BD), and another angle (D)
