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

The function with blue line (see attachment) represents the graph of after it is translated 3 units down.

Step-by-step explanation:

Mathematically speaking, a translation in the y-direction is defined by the following expression:

(1)

Where:

- Resulting function.

- Original function.

- Translation factor ( - Translation in the +y direction/ - Translation in the -y direction).

If we know that original function is translated 3 units down and , then the resulting function is:

Lastly, we graph both original and resulting functions with the help of a graphing tool, whose outcome is presented in the image attached below:

Please notice that the red line represents the original function, whereas the blue line represents the resulting function.

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.  

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168