Problema Solution
State the parent function for the following function. Then list ALL the transformations that have been made to the parent function to get the function f(x)=2(x-3)^2-5
Answer provided by our tutors
the parent function of the function y = 2(x - 3)^2 - 5 is
y = x^2
since y = 2(x - 3)^2 - 5 is y + 5 = 2(x - 3)^2
y = (x-3)^2 is the function y = x^2 translated 3 units right
y = 2(x-3)^2 is the function y = (x-3)^2 expanded vertically
y + 5 = 2(x - 3)^2 is the function y = 2(x-3)^2 translated 5 units down