The last image is the graph of 
In fact, it is an increasing exponential function, and it passes through the points
, which reflects the fact that
and
, which reflects the fact that
.
Now,
is a child of the parent function we just described. Precisely, it is the result of the transformation 
In general, every time you perform a transformation like
, you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.
Since in this case
, we have a horizontal translation of 4 units to the right.
So, the correct option is the third one, because:
- The first graph is the parent function translated 4 units to the left
- The second graph is the parent function translated 4 units down
- The third graph is the parent function translated 4 units to the right
- The fourth graph is the parent function
Answer:
Step-by-step explanation:12 customers per hour..
4minutes per customer..
Time customers must wait= 12customers ×4minutes =48 minutes.. The clerk use 48minutes to attend to 12customers in one hour leaving him with 12spare minutes.
(B)since the clerk has 12 minute to spare it means each customer have a minute to wait before getting attention..
(C)number of customers waiting =12/2=6customers...
Assuming linear.
if k is at (3,4) and j is at (-8,7)
set. (y1,x1) and(y2,x2)
[(y2-y1),(x2-x1)]
[(-8-3),(7-4)]
distance from k to j is (-11,3)
now take coordinates of j and distance from. k->j and add them to get coordinate for L
[(-11+(-8)),(7+3)]= (-19,10)=L
Answer:
The solution is 
Step-by-step explanation:
We are given the following equation:
8x - 61 = 17
We want to find the solution, that is, the value of x. So



Simplifying by 2

The solution is 
Answer:
B. Line B
General Formulas and Concepts:
<u>Algebra I</u>
Undefined slopes are when x equals a certain number.
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
From the given choices, B is the correct answer.
A has a slope of 0, so <em>m</em> = 0 and would become a horizontal line.
C has a negative slope, so it is not undefined.
D has a positive slope, so it is not undefined.
B shows a vertical line, and so it has an undefined slope.