The graph of f(x)=sin(x) is transformed to a new function, g(x) , by stretching it vertically by a factor of 2 and shifting it 3
1 answer:
Answer:
Step-by-step explanation:
The sine function has the general equation
where
- A is the amplitude or vertical stretch
- k is the period factor
- b is the horizontal shift
- h is the vertical stretch
We start with were A=1 and h=0. We transform the function by multiplying A by 2 for a vertical stretch. A=1(2)=2. A is now 2.
We finish transforming the function by shifting it up 3 units. This means h=0 becomes 0+3=3. H is now 3.
Our new function is .
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Answer:
30500 = 3.05·10^4
Step-by-step explanation:
Your calculator can do this for you. You may need to set the display to scientific notation, if that's the form of the answer you want.
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This can be computed by converting both numbers to standard form:
(5·10^2) +(3·10^4)
= 500 +30000 = 30500 = 3.05·10^4
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Addition of numbers in scientific notation in general requires that they have the same power of 10. It may be convenient to convert both numbers to the highest power of 10.
5·10^2 + 3·10^4
= 0.05·10^4 +3·10^4 . . . . now both have multipliers of 10^4
= (0.05 +3)·10^4
= 3.05·10^4
