Question

PLEASE HELP WILL DO WHATEVER
1. Part A. (6 points)Graph the parent function f(x) = |x|
(6 points) Graph the translated function g(x) = |x - 2 + 1 on the same grid




Part B. (4 points) Use f(x) = |x||
f(x) is shifted down 4 and right 3 to create h(x)
Write the equation h(x)
h(x) =

Answer 1

When a function changes its original form, then the function is said to be transformed.

• g(x) is gotten by translating f(x) 2 units right, and 1 unit up
• The equation of h(x) is: $\mathbf{h(x) =|x + 3| - 4}$

(a) f(x) and g(x)

The functions are given as:

$\mathbf{f(x) = |x| }$

and

$\mathbf{g(x) = |x - 2|+1}$

Function g(x) is gotten by translating f(x) 2 units right, and 1 unit up

See attachment for the graphs of $\mathbf{f(x) = |x| }$ and $\mathbf{g(x) = |x - 2|+1}$

(a) f(x) and h(x)

$\mathbf{f(x) = |x| }$

When a function is shifted down by 4 units, the rule of transformation is:

$\mathbf{(x,y) \to (x,y - 4)}$

So, we have:

$\mathbf{f'(x) =|x| - 4}$

When a function is shifted right by 3 units, the rule of transformation is:

$\mathbf{(x,y) \to (x + 3,y)}$

So, we have:

$\mathbf{h(x) =|x + 3| - 4}$

Hence, the equation of h(x) is: $\mathbf{h(x) =|x + 3| - 4}$

Read more about function transformations at:

https://brainly.com/question/13810353