Mathematics: Which function represents the graph of f(x)=−4|x| after it is translated 3 units down? a. g(x)=-4|x+3| b. g(x)=-4|x|+3 c. g(x)=-4|x|-3 d. g(x)=-4|x-3|

Which function represents the graph of f(x)=−4|x|

Ответ:

HunchoPoncho

14.03.2022

C. f(x)=-4|x|-3 .

Step-by-step explanation:

We have been given a function formula f(x)=-4|x| . We are asked to find the function that is obtained from translating our given function by 3 units down.

We will use transformation rules to solve our given problem.

$f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}$ ,

$f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}$ ,

$f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}$ ,

$f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}$ .

Since we need to translate our given graph by 3 units down, so we need to subtract 3 outside of our given function.

Therefore, our required graph would be f(x)=-4|x|-3 and option C is the correct choice.

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Ответ:

jdisalle2808

31.05.2022

Mathematics

B. 90°

Step-by-step explanation:

Simple question just makes you think a little. If you look, the numbered angle is at a 90° angle from the other two lines.

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Which function represents the graph of f(x)=−4|x| after it is translated 3 units down? a. g(x)=-4|x+3| b. g(x)=-4|x|+3 c. g(x)=-4|x|-3 d. g(x)=-4|x-3|

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