Question

Fill in each swing so that the resulting statement is true

Answer 1

Function transformation rule

f(bx) horizontally stretches f(x) when 0 < |b| < 1. The point (x, y) is transformed into (x/b, y)

In this case, the transformation is:

`f((1)/(8)x)`

Considering the above rule:

`b=(1)/(8)`

which satisfy the criterium:

`\begin{gathered} 0<|(1)/(8)|<1 \\ 0<(1)/(8)<1 \end{gathered}`

The point (x,y) in f(x) is transformed in f(x/8) as follows:

`(x,y)\rightarrow((x)/((1)/(8)),y)\rightarrow(8x,y)`

In conclusion, the graph of y = f(x/8) is obtained by a horizontal stretch of the graph of y = f(x) by multiplying each of its x-coordinates by 8