Question

The graph of a function g is a
transformation of the graph of
f (x) = 9x + 5, where g(x) is 60% of
f(x). Write a rule for g

Answer 1

Answer:

$g(x)=5.4x+3$, graph of f(x) vertically compressed by factor 0.6 to get g(x).

Step-by-step explanation:

The given function is

$f(x)=9x+5$

It is given that the graph of a function g is a  transformation of the graph of

f (x), where g(x) is 60% of  f(x). So, we need to write a rule for g.

$g(x)=60\%\text{ of }f(x)$

It means graph of f(x) vertically compressed by factor 0.6 to get g(x).

$g(x)=\dfrac{60}{100}(9x+5)$

$g(x)=0.6(9x+5)$

$g(x)=0.6(9x)+0.6(5)$

$g(x)=5.4x+3$

Therefore, $g(x)=5.4x+3$. Graph of f(x) vertically compressed by factor 0.6 to get g(x).