How is the graph of y=3(x+1)^2 related to its parent function y=x^2

Answer:
D. Translated 1 unit to the left and vertically stretched by a factor of 3.
Step-by-step explanation:
We are given the parent function, [tex]y=x^2[/tex].
It is transformed to the function, [tex]y=3(x+1)^2[/tex].
As we know,
Translation shifts the function in any direction.
Dilation stretches or shrinks the function along the axis.
From the function, we can see that,
The parent function [tex]y=x^2[/tex] is translated 1 unit to the left and vertically stretched by a factor of 3 to obtain the new function.
Hence, option D is correct.