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Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units right and 4 units up on the parent function f(x)=x^2

Respuesta :

Answer:

i) The rule of the translation is (x. y) ------> (x +2, y -4)

ii) Attache the graph.

Step-by-step explanation:

Given: f(x) = x^2

The rule of the translation function is 2 units right and 4 units down.

Let's g(X) is the new function.

(x, y ) ---> (x + 2, y - 4)

The translation function g(x) = (x - 2)^2 - 4

Answers:

i) The rule of the translation is (x. y) ------> (x +2, y -4)

ii) Attache the graph of the function g(x) = (x -2)^2 - 4

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ashishdwivedilVT

Function after performing the translation of 3 units in right and followed by 4 units up on the parent function is f(x) = (x-3)^2 +4.

How horizontal and vertical translation of the graph of a function f(x) takes place?

If the graph of a function f(x) is translated by k units in right direction replace x by x-k.

If the graph of a function f(x) is translated k units up f(x) becomes f(x)+k

Given function is:

f(x) = x^2

After translation of 3 units in right direction f(x) will look like:

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

After another translation of 4 units up f(x) will be become f(x)+4

f(x) = (x-3)^2 +4

So, the Function after performing the translation of 3 units in right and followed by 4 units up on the parent function is f(x) = (x-3)^2 +4.

To get more about graph theory visit:

https://brainly.com/question/9971658

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