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
That would be 4 and 5/8. Because you would find the common denominator which would be 8 and then take 2*4 and 2*1 and get 2/8 and then subtract 3 and 2/8 from 7 and 7/8 and get 4 and 5/8. I hope this helps you.
Answer:
We make scatterplots to see relationships between variables. Scatterplots are really good for helping us see if two variables have positive or negative association (or no association at all).Step-by-step explanation:
-x+3x=2x
2x=2+6
2x=8
8/2=4
x=4
