Answer:
The domain of the transformed function is:
[0,∞)
Step-by-step explanation:
We know that the domain of a function is the set of all possible values where the function is defined i.e. the possible x-values.
Now we are given a parent function f(x) as:

Now, it is given that the function f(x) is transformed three units downward.
So, the resulting function g(x) is given as:

Hence, the function g(x) is defined for all x≥0.
( Since, the square root function is not defined for negative real numbers and for rest values it is defined)
Hence, the domain is given as:
[0,∞)
Answer:
4
Step-by-step explanation:
First, subtract 4 from both sides, then divide by 2 to isolate the variable.

Answer:
k=0
Step-by-step explanation:

We have that the graph will have a solution that is mathematically given as
y=12sin(6t-\pi)+2
<h3>
Daylight time June trough to December</h3>
Question Parameters:
A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days).
Generally the equation for the Amplitude and vertical shift is mathematically given as

A=2
vertical shift =
vertical shift =
vertical shift =1
Therefore, the time is given as

Where

Hence,The graph will have a solution
y=12sin(6t-\pi)+2
For more information on Graph
brainly.com/question/14375099
Answer:
Step-by-step explanation:
We could invent set B: {-2, 1, 3, 5, 6, 10} and then correctly state tht set A is a subset of B, because {-2, 1, 3} is also found in A.