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To obtain the graph of y = (x - 8)2, shift the graph of y = x2 up, down, left, or right, how many units??

Verified Answer :

schiou

you would have to shift it 8 units to the right

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.