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F(x) = x2

g(x) = (x +4)^2 - 1
We can think of g as a translated (shifted) version of f.
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F(x) = x2 g(x) = (x +4)^2 - 1 We can think of g as a translated (shifted) version-example-1
User IonFish
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1 Answer

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Answer:

down by 1 unit and left by 4 units

Explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Then

g(x) = (x + 4)² - 1

is f(x) shifted down by 1 unit and shifted left by 4 units

User Pkaleta
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