Answer:
A. right 2, up 3
Step-by-step explanation:
We have that,
The function
is transformed to
.
We see that,
The function f(x) is translated 2 units to the right and 3 units upwards to obtain the function g(x).
So, the correct transformation is 'right 2, up 3'.
Hence, option A is correct.
Answer:
(4,0) and (- 2,0): Answer
Step-by-step explanation:
Absolute value questions have two essential steps.
1. Solve the equation as it is written.
2. Solve it changing the sign of the right hand side. I will include a graph to confirm my answer
4*abs(x - 1) = 12 Divide by 4
- abs(x - 1) = 12/4
- abs(x - 1) = 3 Equate this to 3
- x - 1 = 3 Add 1 to both sides
- x - 1 + 1 = 3 + 1 Combine
- x = 4
4*abs(x - 1) = - 12 Divide by 4
- abs(x - 1) = - 12/4
- abs(x - 1) = - 3
- x - 1 = - 3 Add 1 to both sides
- x - 1 + 1 = -3 + 1
- x = - 2
So this has 2 answers
(4,0) and (- 2,0)
Alright First you combine the like terms.
9n - 3n = 6n
21 - 24 = -3
Rewrite the simplified equation
6n - 3 = 0
Solve for n
6n = 3
n = 3/6
n = 1/2
Ask if you need more help! :)
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:
x=5, y=-3
Step-by-step explanation:
we can find the answer by plugging in x=3y+14 to the second equation
5(3y+14)-2y=31
simplify
15y+70-2y=31
13y=-39
y=-3
now, plug in this to the initial equation x=3y+14
x=3(-3)+14
x=-9+14
x=5