Answer:
Step-by-step explanation:
Given:
The original function is given as:
The above function is stretched vertically by a factor of 2 to form the graph of 
.
According to the rule of function transformations, when the graph of a function is stretched in the vertical direction by a factor of 'C', where, 'C' is a number greater than 1, then the function rule is given as:
Therefore, the function is multiplied by a factor of 'C' to get the equation of the stretched function.
Here, the the value of 'C' is 2. So, the equation of is given as:
![g(x)=2f(x)\\g(x)=2[2(3)^{x+1}+4]\\g(x)=4(3)^{x+1}+8](https://tex.z-dn.net/?f=g%28x%29%3D2f%28x%29%5C%5Cg%28x%29%3D2%5B2%283%29%5E%7Bx%2B1%7D%2B4%5D%5C%5Cg%28x%29%3D4%283%29%5E%7Bx%2B1%7D%2B8)
Therefore, the equation of is .
Answer:
a) 
= 1 x 1 x 1 x 1 x 1 = 5
b) 2 x 2 x 2 x 2 x 2= 
= 32
c) 
= 20 x 20 x 20 = 8000
d) 7 x 7 x 7 x7 = 
= 2401
Hope this helps :)
Answer:
(3, -2)
Step-by-step explanation:
We can view slope as: 
(rise / run)
"rise" is the change in y from one point to another
"run" is the difference in x from one point to another
So, if the slope of a line is 2, it rises 2 every time it runs 1 (2 = 2/1)
So, we can find another point on the line by adding 2 to the y-value, and adding 1 to the x-value.
(x, y)
(2, -4)
+ 1 + 2
(3, -2)
So, another point on this graph is (3, -2)
Answer:
x = 14
Step-by-step explanation:
The angles form a straight line which makes them add to 180 degrees
4x+ 8x+12 =180
Combine like terms
12x+12 =180
Subtract 12 from each side
12x+12-12 = 180-12
12x=168
Divide each side by 12
12x/12 =168/12
x =14
Answer:it is nonlinear and decreasing
Step-by-step explanation:
