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:
15/17
Step-by-step explanation:
if they won 2 games they lost 15 (17-2) so the ratio is 15/17
- Slope formula:

Firstly, let's set up our equation. Place the two coordinates in the slope formula and have it equal 8: 
Next, combine like terms: 
Next, multiply both sides by 7: 
Next, add 4 onto both sides of the equation: 
Lastly, divide both sides by 2 and <u>your answer will be
</u>
Answer:
Parabola with vertex at point (1,0) that goes to the right (see attached diagram).
Step-by-step explanation:
Let the complex number z be

then

and

Thus,

Square it:

This is the equation of parabola with vertex at point (1,0) that goes to the right.
Answer:
Step-by-step explanation:
Given Annabella time for a race is 24.2 seconds, if another runnee's time was 6.43 seconds faster, then the time taken for another runnee's time will be 24.2 - 6.43 = 17.77secs.
Let a variable X be the difference between annabelle's time and the other runners time.
X = annabelle's time - other runners time.
X = 24.2 - (24.2 - 6.43)
X = 24.2-24.2+6.43
X = 6.43seconds
Hence the expression between annabelle's time and the other runners time is X = 24.2 - (24.2 - 6.43)
<em>The difference between annabelle's time and the other runners time is 6.43seconds</em>