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: Greater of equal sign
Step-by-step explanation:
5+10+x is greater than or equal to 30 ( use the greater of equal to sign)
Answer:
y+1 = -1(x+10)
Step-by-step explanation:
The point slope equation of a line is
y-y1 = m(x-x1) where m is the slope and (x1, y1) is a point on the line
y - -1 = -1 (x --10)
y+1 = -1(x+10)
Answer:
Assuming you mean until the lunch money balance runs out,
$2.20x = $23
Step-by-step explanation:
You spend $2.20 every day. If you are trying to find how many days until the lunch balance runs out, you need to put in X as your variable.
The last step is to set it equal to $23 dollars to be able to factor out the answer.
Hope this Helped!
Answer:
Step-by-step explanation:
Hour hand = radius = 5.5 in
It will travel one full circle in one day, and 3 full circles in 3 days.
<u>The travel distance is:</u>
- 3C = 3(2πr) = 6*3.14*5.5 in = 103.62 in