Question

In the transformation of the function f(x) = -10x - 3 , if it is compressed horizontally by a factor of 5/8, what is the resulting transformed function?

a) ( f(x) = -10/5*x - 3
b) ( f(x) = -5/8*(10x) - 3
c) ( f(x) = -10/8*x - 3
d) ( f(x) = - 10/8*(5x) - 3

Answer 1

The result of horizontally compressing the function f(x) = -10x - 3 by a factor of 5/8 is Option B: f(x) = -5/8*(10x) - 3.

Step-by-step explanation:

The student's question regards the horizontal compression of the function f(x) = -10x - 3 by a factor of 5/8. To perform a horizontal compression by a factor of 5/8, we multiply the x by the reciprocal of 5/8, which is 8/5. This gives us f(x) = -10(8/5)x - 3. Simplifying this expression, we get f(x) = -(10 × 8/5)x - 3 = -16x - 3, which corresponds to Option B: f(x) = -5/8*(10x) - 3.