Question

Function g is horizontally scaled version of function f. The functions are graphed where F is solid and g is dashed what is the equation of g in terms of f? Is itG(x)=f(2x)G(x)=f(1/2x)G(x)=f(4x)G(x)=f1/4x)

Answer 1

To solve the exercise, we can use the following rule of transformation of functions:

In this case, we can see that the graph of f(x) shrinks by a factor of 2, because:

$1.5\cdot \boldsymbol{2} =3$

Therefore, the equation of g in terms of f is:

$\boldsymbol{g(x)=f(2x)}$