Answer:
The resulting function is 
.
Step-by-step explanation:
Let 
a real function, we define the following function operations:
Horizontal translation
(1)
If 
, then horizontal translation is to the left, otherwise it is to the right.
Vertical translation
(2)
If 
, then vertical translation is upwards, otherwise it is downwards.
Knowing that 
and 
is the result of translating four units downwards and five units to the left. Then, we find that:
The resulting function is .
After you type in your equations and hit graph you notice that, if you are in the standard window, your parabola is cut off so you have to choose your "window" button to change the viewing window to see the whole graph. Then you would use your 2nd button and "trace" and "intersect" to find the points of intersection of the 2 graphs. The first point is at (-.90901, 16.81812) and the second point is at (5.9090909, 3.1818182). Graphing calculators are quite amazing!
Step 1. 11x -3x = 8x
Step 2. 14-11 = 3
Answer: 8x + 3
Less than because if you subtract 11, 138 minus 9,405 you get the answer you get 1,733 and that is less than 2,000
Answer:
B) 
x units
Step-by-step explanation:
Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:
Perimeter of a rectangle = 2 (l + b)
where: l is the length = 12 units and b is the breadth = 8 units. So that:
Perimeter of KMPT = 2 (12 + 8)
= 40 units
Dilating KMPT by a scale factor of would create K'M'P'T' of dimensions; × 12 units by × 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.
Perimeter of K'M'P'T' = 2 (l + b)
= 2(9 + 6)
= 30 units
Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be × perimeter of KMPT.
Therefore, if the perimeter of KMPT is x units, then;
perimeter of K'M'P'T' = * x units
= x units
