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The function f(x) = 2x − 1 is transformed to function g through a horizontal shift of 7 units left. What is the equation of function g?

User Docteur
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1 Answer

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Greetings from Brasil...

If we have a translation for left/right, we have to use the expression:

F(X ± C)

if F(X + C), so the function shifted C units to the left

if F(X - C), so the function shifted C units to the right

Bringing to our problem

G(X) = F(X + C)

F(X) = 2X - 1

G(X) = F(X + 7) = 2.(X + 7) - 1

G(X) = F(X + 7) = 2X + 14 - 1

G(X) = F(X + 7) = 2X + 13

G(X) = 2X + 13

User Felene
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