Question

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

Answer 1

We have the following function:

`f(x)=x^2`

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

`f(x)\rightarrow f(x+12)`

Therefore

`g(x)=f(x+12)=(x+12)^2`

The function g is

`g(x)=(x+12)^2`