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Juli2301 [7.4K]
3 years ago
13

The graph of f (x)= x² has been translated 4 units down.

Mathematics
1 answer:
weeeeeb [17]3 years ago
4 0

Answer:

the new equation is f(x)=x^2-4  

vertex- (0,-4)

zeros- (-2,2)

y-intercept- (-4)

and it has a minimum

Step-by-step explanation:

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Answer: D) f(n)=8(1.5)^{n-1}


Step-by-step explanation:

From the given table we can see that this is not representing a linear function as the rate of change is not constant.

So it can be exponential growth function A(b)^{n-1},  where A is the initial amount , b is the multiplicative rate of growth and n is the time period in weeks.

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Now, for n=2

f(2)=8(b)^{2-1}\\\Rightarrow12=8b\\\Rightarrow\ b=\frac{12}{8}\\\Rightarrow\ b=1.5

By substitute the values of A and b in the above equation, we get the equation f(n)=8(1.5)^{n-1}

Therefore, the function best shows the relationship between n and f(n) is

f(n)=8(1.5)^{n-1}, where n is the number of weeks.

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