Question

HELP ASAP what is the equation of g in terms of f?

Answer 1

Given:

Function g is the vertically scaled version of function f.

We can find the relationship between g(x) and f(x) by observing points on the graph.

When x = 1,

f(x) = 2, g(x) = 6

We can find the scale factor to be:

`\begin{gathered} \text{scale factor = }(6)/(2) \\ =\text{ 3} \end{gathered}`

Hence, the relationship between g(x) and f(x) is:

`\begin{gathered} g(x)\text{ = 3 }*\text{f(x)} \\ =\text{ 3f(x)} \end{gathered}`

Answer:

g(x) = 3 f(x)