Part A)
Recall that:
1) The function represented by the graph of the function f(x) translated vertically n units up and horizontally m units left is:
2) The function represented by the graph of the function f(x) reflected over the x-axis is:
Now, notice that g(x) is the function f(x) reflected over the x-axis and then translated vertically 6 units up and horizontally 4 units left.
Answer Part A:
Options B, C, and D.
Part B) To graph g(x) we will reflect the graph of f(x) over the x-axis and then we will translate it vertically 6 units up and horizontally 4 units left.
We know that the graph of f(x)=|x| is:
The above graph reflected over the x-axis is:
Finally, the above graph translated vertically 6 units up and horizontally 4 units left is:
Answer part B:
The painter needs at least two gallons of paint to cover the wall.
To get this answer, you first need to find the area of the wall; by multiplying 20.5 x 16.4. This will get you 336.2.
Then, you need to divide 336.2 by 200. This will get you approx. 1.6.
If it's asking for partial gallons as well, stop here. Your answer is 1.6.
If not, continue.
Unless you're including partial gallons, you can't get 1.6 gallons of paint, so you need to round up. This will be 2 gallons.
6 minutes, because 1 yd is equivalent to 3 feet, which is equivalent to 36 inches. If a centipede crawls at 6 inches per minute, you do 6 x 6, which equals 36, and get 6 minutes!
There are no like terms in 9u^2v because it is all one term and none of the variables are like one another.
Change percent to decimal which is 0.35 and multiply it by 550 to get 192.5 which is the amount taken off from the original price. So the total price after the discount is 357.5$
