Using the parent function y=x2

Shift 4 units up
Shift 4 units down
Shift 4 units to the right
Shift 4 units to the left

Answer choices: y= (x+4)^2, y=x^2=4, y=x^2+4, y=(x-4)^2

1 answer

To shift the parent function y = x^2 four units up, we can add 4 to the function. So the answer is y = x^2 + 4.

To shift the parent function y = x^2 four units down, we can subtract 4 from the function. So the answer is y = x^2 - 4.

To shift the parent function y = x^2 four units to the right, we can replace x with (x - 4) in the function. So the answer is y = (x - 4)^2.

To shift the parent function y = x^2 four units to the left, we can replace x with (x + 4) in the function. So the answer is y = (x + 4)^2.