If you shift the quadratic parent function, f(x) = x2, left 12 units, what is the equation of the new function? a. g(x) = (x + 12)2 b. g(x) = (x – 12)2 c. g(x) = x2 – 12 d. g(x) = x2 + 12

 The correct option is (A).

Step-by-step explanation:  Given that the equation of the quadratic parent function is

We are to find the equation of the new function after shifting the parent function (i) 12 units left.

Since we are shifting 12 units left, so there is a horizontal translation in the X-axis.

And the x co-ordinate becomes (x+12).

Therefore, the equation of the new function will be

Thus, the required equation of the new function is

Option (A) is correct.

17

step-by-step explanation:

range is infinite on both x and y axis positive and negative

step-by-step explanation: