Question

F(x)=4x+2 and g(x)=4(x−9)+2. What transformation occurs from function f to function g? a translation 9 units right a horizontal compression by a factor of 9 a horizontal stretch by a factor of 9 a translation 9 units down

Answer 1

Answer:

A translation 9 units right

Step-by-step explanation:

Given

$f(x) = 4x + 2$

$g(x) = 4(x -9)+ 2$

Required

Translation of f(x) to g(x)

To do this, we take the options one after the other.

A translation 9 units right

When an original function f(x) is translated to the right by h points, the resulting function g(x) is

$g(x) = f(x - h)$

So, we have that:

$f(x) = 4x + 2$

When translated to the right by 9 points,

$g(x) = 4(x - 9) + 2$

Hence, option A answers the question