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:
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