Answer:

Step-by-step explanation:
The parent function is given as:

We want to find a new function that results after shifting f(x), 2 units to the right.
Let that function be g(x), then

We replace x by x-2 in f(x) to get:

When we simplify, we obtain:

I cannot reach a meaningful solution from the given information. To prove that S was always true, you would have to prove that N was always false. To prove that N was always false you would have to prove that L was always false. For the statement (L ^ T) -> K to be true, you only need K to be true, so L can be either true or false.
Therefore, because of the aforementioned knowledge, I do not believe that you can prove S to be true.
Answer:
(3, 5)
Step-by-step explanation:
The graph is is the standard y=|x| except the values tells you that x shifts 3 (within the absolute value or parentheses x does the opposite) to the right and the y value shifts 5 up (numbers outside parentheses affects y and does what it says). You can try using a table of values then graphing to check your answer.
Answer:
5 + y ≥ 7
Step-by-step explanation:
"The sum of 5 and y"
The sum of two items will be the two items added, and in this case, it is 5 and y, or
5 + y.
"Greater than or equal to 7"
Here, use the symbol, ≥, and 7.
≥ 7
Combine those to get the final equation:
5 + y ≥ 7.