. A right rectangular prism has a length of 5 inches, a width of 7 inches, and a height of 11 inches. How much will the volume change if the height of the prism is increased by 4.5 inches?

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Ответ:

jgpjessi1854

18.02.2023

Mathematics

Second option: g(x)=(x+7)-3

Step-by-step explanation:

The exercise is actually: "The function f(x) = x^2

is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)? $g(x) = (x-7)^2 - 3\\g(x) = (x + 7^2 - 3\\g(x) = (x - 3)^2 - 7\\g(x) = (x-3)2 + 7$ "

Below are shown some transformations for a function f(x):

1. If f(x)+k , the function is shifted up "k" units.

2. If f(x)-k , the function is shifted down "k" units.

3. If f(x+k) , the function is shifted left "k" units.

4. If f(x-k) , the function is shifted right "k" units.

In this case the exercise provides you the following parent function:

f(x) = x^2

Then, keeping on mind the transformations explained before, if the given function f(x) is translated 7 units to the left and 3 units down in order to form the function g(x), then you can conclude that:

g(x)=f(x+7)^2-3

Therefore, you can determine that the function g(x) is:

g(x)=(x+7)^2-3

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