Answer:
Og(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
To understand how the parent function is transformed, you have to look at a few things.
Firstly, is there a negative sign in front? If there is, then the function is flipped around the y-axis
Second, on the part where the x is included (in this case it is x+4) you have to see if there is a negative sign in front of this. If this is the case, then the formula is flipped around the x-axis
<em>Third, If the part with the x is being added to, then the graph is being translated to the left that many units. If it is being subtracted from, then it is being translated to the right that many units (in this case it is </em><u><em>x+4</em></u><em>, so we move to the left 4 units) ((it is the opposite of what would be common sense, I know))</em>
<em>Lastly, if the whole thing is being added to, move up that many units. If it is subtracted from, move down that many units (in this case it is 1/x+4 </em><u><em>- 6)</em></u><em> (( this one does follow common sense))</em>
There are other factors, such as leading coefficients (on just the x part or the whole thing) and other stuff I'm sure I don't remember )
For more information: https://mathhints.com/parent-graphs-and-transformations/
Answer:
38.13 ft squared
Step-by-step explanation:
Since it is half of a circle we first find the area of a normal circle then divide by two.
So to find the area of a circle it is pi times radius squared which in this case it would be 3.14 times 9 = 28.26
Then since it is a half circle we divide by two so
28.26/2 = 14.13
Then to find the area of the triangle we do 4 times 6 which is 24.
now we add the two which is 14.13 + 24 which is
38.13
Given details show the how many hours of sleep the students take and and how much marks the students score in an examination.
Number of hours slept is taken in x-axis (abscissa).
Test score is taken in y-axis (ordinate).
Therefore, (x, y) = (hours slept, test score)
So, the ordered pairs set up to plot the scatter plot in the order (hours slept, test score).
