1.
f(x) = x
g(x) = x + 3
For each x value you use in f(x) and g(x), the corresponding y value in g(x) is always 3 more than in f(x). If each y-coordinate is 3 more, that means the graph is shifted 3 units up. The graph of f(x) is shifted 3 units up to create the graph of g(x).
2.
The first term is -0.5.
Then each term goes up by 0.25.
1st term: -0.5
2nd term: -0.5 + 0.25 = -0.5 + 0.25(1)
3rd term: -0.5 + 0.25 + 0.25 = -0.5 + 0.25(2)
4th term: -0.5 + 0.25 + 0.25 + 0.25 = -0.5 + 0.25(3)
nth term: -0.5 + 0.25(n - 1)
-0.5 + 0.25(n - 1) = -0.5 + 0.25n - 0.25 = -0.75 + 0.25n = 0.25n - 0.75
Answer is C.
P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is 
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:

Answer:
The correct answer is the length is 10 feet and width is 2 feet respectively.
Step-by-step explanation:
Let length of the rectangular floor of Louis' basement be l feet and width be
feet respectively.
Area of the basement floor is given to be 500 square feet.
Therefore according to the given problem,
l ×
= 500
⇒
= 100
⇒ l = 10 ; [length cannot be negative]
⇒ b = 2
Thus the length and width be 10 feet and 2 feet respectively.