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Vika [28.1K]
3 years ago
15

Describe the transformation from the parent function to the function g(x)=2 times 3^x-4

Mathematics
1 answer:
azamat3 years ago
6 0

Answer:

Step-by-step explanation:

The parent function of g(x) = 2*3^x-4 would be 3^x

The transformation would include: shifting parent function 4 units down (-4) and compressing the function (2)

The movement (shifting) of the graph is caused by the y-intercept. If the y-intercept is positive, the graph moves up and vice versa.

The coefficient which is multiplied determines whether the function is compressed (squeezed) or stretched. If the coefficient is less than 1, then the function is stretched. If the coefficient is greater than 1, then the function is compressed.

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Graph is below

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Determine the recursive function that defines the sequence.
Strike441 [17]
<h2>Answer:</h2>

Option: C is the correct answer.

    C.   f(1)=4\\\\f(n)=5\cdot f(n-1)\ ;\ n\geq 2  

<h2>Step-by-step explanation:</h2>

Recursive Formula--

It is the formula which is used to represent the nth term of a sequence in terms of (n-1)th term of the sequence.

Here we are given a table of values by:

            n            f(n)

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i.e. when n=1 we have:

f(1)=4

Also,

f(2)=20\\\\i.e.\\\\f(2)=5\cdot 4\\\\i.e.\\\\f(2)=5\cdot f(1)

Also,

f(3)=100\\\\i.e.\\\\f(3)=5\cdot 20\\\\i.e.\\\\f(3)=5\cdot f(2)

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3 years ago
Value of x...........<br><br>in given rhombus. ​
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Step-by-step explanation:

we know that,

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HERE,

one angle =2x

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\tt{ 2x=3x-40  }

\tt{3x=2x+40   }

\tt{3x-2x=40   }

\tt{ x=40  }

<em>#quality</em><em> </em><em>answer</em><em> </em>

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