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
The reference angle is
pi/3.
At 180 it would be 9pi/3 so going past that is 10pi/3.
The line passing through (3, -1) and (-1, 5) has this slope:
5+1
m = ---------- = -3/2
-1-3
We need to find the y-intercept. To do this, substitute the knowns (-3/2 for m, -1 for y and 3 for x) into the slope-intercept equation:
-1 = (-3/2)(3) + b. Then: -1 = -9/2 + b, and so b = 9/2 - 1 = 7/2.
The desired equation is y = (-3/2)x + 7/2.
<span>the probability the coach selects all girls is m</span>ost likely
