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777dan777 [17]
3 years ago
6

The function f(x)=x^2. The graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule for

g(x)?
Please Help!!

Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0

Answer:

g(x)=x^2-6x+6

Step-by-step explanation:

<em>Translation of a function</em>

The original function f is

f(x)=x^2

We need to define a second function such as its graph is translated 3 units to the right and 3 units below f(x)

The new function called g(x) must be translated horizontally and vertically. To have it translated to the right, we must replace x by x-3 and to translate the result down, we must subtract 3 as shown

g(x)=f(x-3)-3

g(x)=(x-3)^2-3

g(x)=x^2-6x+9-3

g(x)=x^2-6x+6

Both graphs are shown in the figure below where we can see the translation in both axes

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