Reflections and translations are instances of transformation.
<em>The rule of function g for the given reflection and translation is </em>
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Given

<u>The rule of translating 5 units up is:</u>

So, we have:


<u>The rule of reflecting about the y-axis is:</u>

So, we have:



Hence, the rule of function g is: 
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Answer:
Step-by-step explanation:
The rule for g(x) is: 
Step-by-step explanation:
Given function is:

When a function f(x) is shifted right or left, b units the new function is written as:

Shifting right

Shifting left

Similarly, when shifting up or down

As our given function is shifted 3 units to the right, it will be written as:

The function is when moved down 3 units, then

Hence
The rule for g(x) is: 
Keywords: Function transformation, Functions
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Make a ratio, then cross multiply.
4/30=x/48
30x=4x48
30x=192
x=6.4