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jeka94
3 years ago
5

The parent function f(x) = x3 is transformed to g(x) = (x – 1)3 + 4. Identify the graph of g(x).

Mathematics
2 answers:
Delicious77 [7]3 years ago
8 0

Answer:

The graph of g(x) will be shifted 4 units up and 1 unit to the right

Step-by-step explanation:

The parent function f(x) = x^3 is transformed to g(x) = (x – 1)^3 + 4

Parent function f(x)= x^3

If any number is added at the end then the graph will be shifted up

If any number is subtracted from x then graph will be shifted right

f(x)----> f(x) + a (shifted 'a' units up)

f(x) ----> f(x-a) (shifted 'a' units right)

g(x) = (x – 1)^3 + 4

The graph of g(x) will be shifted 4 units up and 1 unit to the right

the graph is attached below

Dominik [7]3 years ago
4 0

we have f(x)=x^3 which is a cubic function.

and =(x-1)^3+4.

from f(x) and g(x) we know that both are cubic and g(x) has shrink of 1 and up by 4 units in x axis .

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Answer:

The second number would be 8 or 16

Step-by-step explanation:

Let x be the unknown number,

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5 0
3 years ago
Jim went by bus to visit his uncle. He left at 10 A.M. and arrived at 4 P.M. The bus traveled 270 mi. What was its average speed
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Answer:

Average speed, S = 45 mph

Step-by-step explanation:

<u>Given the following data;</u>

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Arrival time = 4 PM

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First of all, we would determine the total time.

10 AM to 4 PM = 6 hours

Total time = 6 hours

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Substituting into the formula, we have;

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<em>Average speed, S = 45 mph</em>

<em />

<em>Therefore, the average speed of the bus is 45 miles per hour.</em>

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