Question

ALGEBRA
Function g is shown on the graph. If function f is the parent linear function, f(x) = x, what is the equation of transformed function g in terms of f?

Answer 1

Answer: $g(x)=\frac{1}{2}f(x)$

Step-by-step explanation:

We see that g(x) is a straight line that passes through the origin, just like f(x), so g(x)=kx for some constant k.

Since g(x) passes through (4,2), we know that 2=4k, and thus k=1/2.

So, $\boxed{g(x)=\frac{1}{2}f(x)}$