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If you shift the quadratic parent function, f(x) = x2, left 12 units, what is theequation of the new function?O A. g(x) = x^ + 12OB. g(x)=x2-12O C. g(x)=(x-12)²O D. g(x) = (x+12)²SUBMIT

Sagot :

We have the following function:

[tex]f(x)=x^2[/tex]

When we want to shift a function to the left or right we add something to the argument, then

• f(x + a) = shift the function "a" units to the left

,

• f(x - a) = shift the function "a" units to the right

Therefore, if we want to move it 12 units to the left we must add 12 to the argument, then

[tex]f(x)\rightarrow f(x+12)[/tex]

Therefore

[tex]g(x)=f(x+12)=(x+12)^2[/tex]

The function g is

[tex]g(x)=(x+12)^2[/tex]

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