To obtain the graph of y = (x - 8)2, shift the graph of y = x2 up, down, left, or right, how many units??
ANSWER
Shifts to the right \(8\) units.
EXPLANATION
Given the parent function, \(y=x^2\).
\(y=a(x+b)^2+c\)
When \(a\) is positive, the graph opens up.
When \(a\) is negative, the graph opens down.
When \(b\) is positive, the graph shifts to the left \(b\) units.
When \(b\) is negative, the graph shifts to the right \(b\) units.
When \(c\) is positive, the graph shifts up \(c\) units.
When \(c\) is negative, the graph shifts down \(c\) units.
For the given function,
\(y=(x-8)^2\), the graph shifts to the right 8 units.