A certain function is vertically stretched by a factor of 2, horizontally compressed by 1/4, and translated down 6. The new function is represented by f(x) = 6 |8x| -2. Write the original function.

The original function would be

Step-by-step explanation:

Recall the following transformation rules:

(i) vertically stretched by a factor of c ( c must be greater than 1):

f(x) is transformed to cf(x).

(ii) horizontally compressed by a factor of a ( a must be greater than 0):

f(x) is transformed to f(ax).

(iii) translated down a unit:

f(x) is transformed to f(x)-a

Consider the original function is g(x).

After vertically stretched by a factor of 2,

Transformed function is 2g(x).

After horizontally compressed by a factor of 1/4,

Transformed function is 2g(x/4).

Finally, translate down 6 units,

Transformed function is 2g(x/4) - 6.

According to the question,

   ( Say x/4 = y )

Substitute x for y,

Hence, the original function would be .

i want to die

what the hell man, i just want the points lol

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled