#Y= x^2# is translated 3 units to the right and 1 unit up? Precalculus Functions Defined and Notation Introduction to Twelve Basic Functions 1 Answer sjc Mar 1, 2017 #y=(x-3)^2+1# Explanation: In general if a function is translated #a# units right and #b# units up we can summaries this as: #f(x)" translated by " ((a),(b))rarrf(x-a)+b# so #" "Y=x^2" translated by 3 units right, " 1 " unit up"# #Y=x^2 " translated by "((3),(1))rarry=(x-3)^2+1# Answer link Related questions What are the twelve basic functions? What is the greatest integer function? What is the absolute value function? What is the graph of the greatest integer function? What is the graph of the absolute value function? What is the inverse function? What is the graph of the inverse function? Which of the twelve basic functions are bounded above? Which of the twelve basic functions are their own inverses? How do you use transformations of #f(x)=x^3# to graph the function #h(x)= 1/5 (x+1)^3+2#? See all questions in Introduction to Twelve Basic Functions Impact of this question 46084 views around the world You can reuse this answer Creative Commons License