Question

Using the 3 functions below, make the desired transformation(s) to the correct function and describe the transformation(s). Write the new equation k(x).
If the functions are: f(x)=2x+1 g(x)=−12x−3 h(x)=−2
then find k(x) if k(x)=g(x)−3
Transformation(s) of g(x) to k(x):

-3:




New equation:

k(x)=

Answer 1

Answer:

The transformation of $g(x)$ to $k(x)$ consists in a vertical translation. The new equation is $k(x) = -12\cdot x-6$.

Step-by-step explanation:

Let $g(x) = -12\cdot x - 3$. We proceed to make the required transformations on $g(x)$, which consists in one vertical translation, 3 units in the -y direction. That is to say:

$k(x) = g(x) - 3$ (1)

$k(x) = (-12\cdot x - 3) - 3$

$k(x) = -12\cdot x-6$

Then, the transformation of $g(x)$ to $k(x)$ consists in a vertical translation. The new equation is $k(x) = -12\cdot x-6$.