Answer:
Option (A)
Step-by-step explanation:
Parent function (in red) graph is represented by,
f(x) = x²
If this function is translated by 'a' units to the right, rule to be followed,
f(x) → f(x - a)
If the parent function is shifted by 4 units to the right (blue graph), the new function will be,
g(x) = f(x - 4)
g(x) = (x - 4)²
Therefore, Option (A) will be the correct option.
Answer:
1. 
2. 
3. The first one represents Dale's commission
Explanation:
1. The composition of the function
means that you first apply the function g(x) and then f(x) on the output of g(x).
That is:
- f(x) = 0.05x
- g(x) = x - 3000
2. The composition of the function
means that you first apply the function f(x) and then g(x) on the output of f(x).
That is:
3. Which one represents Dale's commission
To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).
Therefore, you first use g(x).
Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.
Therefore, the composition that represents Dale's commission is the first one:
-3-4(5)
-4(5)=-20
-3-20
The answers is -23
Answer:
The correct option is 4.
4) Doing two distance formulas to show that adjacent sides are not the same length.
Step-by-step explanation:
Parallelogram is a quadrilateral which has opposite sides equals and parallel. Example of a parallelogram are rhombus, rectangle, square etc.
We can prove that a quadrilateral MNOP is a parallelogram. If we find the slopes of all four sides and compare those of the opposite ends, same slopes would indicate the opposite sides are parallel, hence the quarilateral is a parallelogram. We can also find the distance of two opposing sides, and slopes of twp opposing sides to determine whether it is a parallelogram or not. The most difficult approach is that diagonals bisect each other at same point.
However, using only two distance formulas will not give us enough information to determine whether a side is parallel or not.
(4a + 6b) x (2a - 2b)
the answer would be 8a2 + 4ab - 12b2
