Question

Which function represents the graph of f(x)=−4|x| after it is translated 3 units down?

Answer 1

Answer:

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.

Answer 2

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|