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
So we have 299790000, we want to have only one digit in front of the decimal, 2.9979x10^9
hope this helps :)
<span>Each of the following lines from "The Love Song of J. Alfred Prufrock" contains allusion except
A. "I am no prophet—and here's no great matter;"
B. "To say: I am Lazarus, come from the dead,"
C. "No! I am not Prince Hamlet, nor was meant to be;"
D. "I shall wear white flannel trousers, and walk upon the beach."
Read the following lines from "The Love Song of J. Alfred Prufrock." </span>
Answer: C or 2 seconds.
Step-by-step explanation:
To find the vertex in a standard form equation: (-b/2a,f(-b/2a))
plug it in: -64/2*-32 = 2