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:
178.3 mm²
Explanation:
The surface area of the regular pyramid is equal to the sum of the base and lateral areas:()
The final price is the cost plus the tax.
Since we know the tax and a percent, we can write this as
T = C(1+r)
T = what Graham paid = $87.45
C = cost before tax
r = tax rate expressed as a decimal = .40
Plugging in what we know
87.45 = C (1+.4)
87.45 = C(1.4)
Divide both sides by 1.4
C = $62.46
C: 4 is the right answer
Step-by-step explanation:
Given
a1 = -3
a15 = 53
We know that explicit formula for the arithmetic sequence is:

For the 15th, term it will be

Adding 3 on both sides

Dividing both sides by 14

Hence,
C: 4 is the right answer
Keywords: Arithmetic sequence, Common Difference
Learn more about arithmetic sequence at:
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