Question

To obtain the graph of y = x^2 - 6, shift the graph of y = x^2 up, left, right, or down, how many units??

Answer 1

you would shift down 6 units

Answer 2

6 units down

Explanation:

The parent graph is
`y=x^2`

We need to find the transformation of the graph
`y=x^2-6`

f(x) -> f(x)+a , the graph will be moved 'a' units up

f(x) -> f(x)-a , the graph will be moved 'a' units down

f(x) -> f(x+a) , the graph will be moved 'a' units to the left

f(x) -> f(x-a) , the graph will be moved 'a' units to the right

`y=x^2`

`y=x^2-6`

Here -6 at the end. 6 is subtracted from x^2 . so the graph will be shifted 6 units down