To obtain the graph of y = (x - 8)^2, shift the graph of y = x^2 8 units to the right.
How to work with shifts?
We define a horizontal shift of N units for a function f(x) as:
g(x) = f(x + N)
- If N is positive, the shift is to the left.
- If N is negative, the shift is to the right.
In this case we have the functions:
g(x) = (x - 8)^2
f(x) = x^2
Comparing these, we can see that:
g(x) = f(x -8)
Meaning that g(x) is a shift of 8 units to the right of y = x^2
Then the complete statement would be:
"To obtain the graph of y = (x - 8)^2, shift the graph of y = x^2 8 units to the right."
If you want to learn more about translations, you can read:
https://brainly.com/question/17485121
