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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??

Respuesta :

schiou
you would have to shift it 8 units to the right

ANSWER

Shifts to the right [tex]8[/tex] units.

EXPLANATION

Given the parent function, [tex]y=x^2[/tex].



[tex]y=a(x+b)^2+c[/tex]


When [tex]a[/tex] is positive, the graph opens up.



When [tex]a[/tex] is negative, the graph opens down.


When [tex]b[/tex] is positive, the graph shifts to the left  [tex]b[/tex]  units.


When [tex]b[/tex] is negative, the graph shifts to the right  [tex]b[/tex]  units.


When [tex]c[/tex] is positive, the graph shifts  up  [tex]c[/tex]  units.


When [tex]c[/tex] is negative, the graph shifts  down [tex]c[/tex]  units.



For the given function,

[tex]y=(x-8)^2[/tex], the graph shifts to the right 8 units.