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katrin [286]
2 years ago
9

What is the effect on the graph of the function f(x) = x^3 when f(x) is changed to f(x + 8)?

Mathematics
2 answers:
ratelena [41]2 years ago
6 0

Answer:

D

Step-by-step explanation:

Because you are adding to it so it would be a positive

icang [17]2 years ago
4 0

Step-by-step explanation:

C it translates the whole curve 8 units left.

simply because f(x+8) means that at the position x we get the functional result that should normally happen at the position x+8. but so, it happens 8 units "earlier". therefore, a shift to the left.

f(x-8) would be a shift to the right by 8 units.

f(x) + 8 would be a shift up by 8 units.

f(x) - 8 would be a shift down by 8 units.

oh, and -f(x) would flip it upside-down.

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Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th
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Answer:

\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?    

Let us convert time taken into hours as:

\text{Days}=5\times 12=60

\text{Minutes}=60\times 45

1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

\text{Hours}=\frac{60\times 45}{60}=45

Now, we will divide 1800 by 45 to find average rate in laps per hour as:

\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}

\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}

Therefore, Sebastian's average rate is 40 laps per hour.

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