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 .

1. 34

2. 268

3. x=14.4

step-by-step explanation:

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?