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

Verified Answer :

schiou

you would shift down 6 units

Answer:

6 units down

Step-by-step 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