Question

Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3 units up on the parent function(x)=x2

Answer 1

1) When we talk about transformations we must always compare it to a parent function, in this case, the parent one is f(x) = x²

So a function with a horizontal translation 2 units left

and a vertical shift 3 units up is

f(x) = (x+2)²+3