Answer:
To create function h, function f was translated 2 units right
, translated 4 units up and reflected across the x axis
Step-by-step explanation:
Given
Required
Complete chart
First: f(x) was translated right by 2 units
The rule of right translation is 
So, we have:
Next: f'(x) was translated up by 4 units
The rule of down translation is 
So, we have:
Lastly, f"(x) was reflected across the x-axis;
The rule of this reflection is: 
So, we have:
![h(x) = -[(x+2)^3 + 4]](https://tex.z-dn.net/?f=h%28x%29%20%3D%20-%5B%28x%2B2%29%5E3%20%2B%204%5D)
Remove bracket
Answer:
thanks for the points
Step-by-step explanation:
have a nice day ahead
Answer:
B. What was the highest temperature this month?
Step-by-step explanation:
Rory is recording the <em>high</em><em>est</em><em> temperature</em> for the duration of the day for month's worth of data.
B. is the easiest one to answer, as you simply will have to look for the greatest number within the set, and that will be the answer.
A. is too broad, and does not imply that only the "high temperature" is needed, rather just a leveled temperature within day in that month.
C. is the opposite of what Rory had recorded, and without data, he cannot answer it.
D. is answerable as well, but, again, the only temperature recorded is the high temperature. Temperature can fluctuate depending on the time of the day, and can be in the 50s one hour and the 90s in another.
~
9 student because if each row holds nine then the last row must hold nine
Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
