Q:

Describe the translation of the graph of y = x2 that results in the graph of y = (x - 3)2.left 3 unitsright 3 unitsdown 3 unitsup 3 units

Accepted Solution

A:
Answer:Option B is correctright 3 unitsExplanation:Horizontal shift:To translate the parent function [tex]y = f(x)[/tex] horizontal, then new graph become: [tex]y = f(x+h)[/tex]When h >0, then the graph is h units leftWhen h <0, then the graph is h units rightAs per the statement:Given the parent function:[tex]f(x) = x^2[/tex]then the new graph:[tex]f(x) = (x-3)^2[/tex]by definition of horizontal shift:h =  -3 < 0⇒ the resultant graph is 3 units rightTherefore,the translation of the graph of [tex]f(x) = x^2[/tex]  that results in the graph of [tex]f(x) = (x-3)^2[/tex] is, right 3 units