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O GRAPHS AND FUNCTIONSWriting an equation for a function after a vertical and horizontal..

O GRAPHS AND FUNCTIONSWriting an equation for a function after a vertical and horizontal-example-1
User RRP
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We have the function f(x) with the following equation


f(x)=-(1)/(2)x^2

We are asked to find the equation of k(x) which is the same function f(x) but translated

First, we will identify how many units the function has moved horizontally 2 units to the right and 4 units down

Second, Let's remember the function translation rules necessary to get this result

y = f(x) -c It will be grated vertically "c" units down.

y = f(x-c) It moves horizontally "c" units to the right.

So the equation of k(x) is as follows:


k(x)=-(1)/(2)(x-2)^2-4

O GRAPHS AND FUNCTIONSWriting an equation for a function after a vertical and horizontal-example-1
User Udit
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