Question

Let f(x)=8xf(x)=8x. The graph of f(x)f(x) is transformed into the graph of g(x)g(x) by a vertical stretch of 4 and a translation of 7 units down. What is an equation for g(x)g(x)?

Answer 1

g(x) = 4(8x) - 7 is the answer to your question

Answer 2

`g(x)=32x-7`

Explanation:

A vertical stretch transformation means that we have to multiply the stretch factor to the x-variable, that way y-values will be stretched.

A translation downwards is accomplish by subtracting units to f(x), that is, to y-variable.

So, according to the rules, the equation would be:

`g(x)=4(8x)-7\\g(x)=32x-7`

Therefore, the final function transformed is
`g(x)=32x-7`