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Murrr4er [49]
3 years ago
9

Item 5 Let f(x)=2 (3) x+1 +4 . The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x) . What is th

e equation of g(x) g(x) ?
Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Answer:

g(x)=4(3)^{x+1}+8

Step-by-step explanation:

Given:

The original function is given as:

f(x)=2(3)^{x+1}+4

The above function is stretched vertically by a factor of 2 to form the graph of g(x).

According to the rule of function transformations, when the graph of a function is stretched in the vertical direction by a factor of 'C', where, 'C' is a number greater than 1, then the function rule is given as:

f(x)\to Cf(x)

Therefore, the function is multiplied by a factor of 'C' to get the equation of the stretched function.

Here, the the value of 'C' is 2. So, the equation of g(x) is given as:

g(x)=2f(x)\\g(x)=2[2(3)^{x+1}+4]\\g(x)=4(3)^{x+1}+8

Therefore, the equation of g(x) is g(x)=4(3)^{x+1}+8.

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See below.

Step-by-step explanation:

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3 years ago
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3 years ago
If the equation of the line y = 2x - 6 is changed to y = -2x - 6, how is the graph changed?
-Dominant- [34]

Answer:

from sloping up to sloping down ⇒ answer D

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

 function g(x) = f(-x)

* Now lets solve the problem

∵ The equation of the line is y = 2x - 6

∵ The equation is changed to y = -2x - 6

- If the both signs of x and the number are changed means the

 equation is multiplied by -1

∴ The line is reflected across the x-axis

- If the sign of x only is changed

∴ The line is reflected across the y-axis

- From the equation 2x changed to -2x, but -6 not changed

∴ The sign of x only changed

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* The graph is reflected across the y-axis

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4 0
3 years ago
Read 2 more answers
-950-?= -379<br><br><br> Help Will give brainliest!!
Karolina [17]
Answer: -571

Step-by-step-explanation:
-950 - (-571) = -379
-950 + 571 = -379
Hope this helps :)
8 0
2 years ago
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