Transformations of Quadratics

What is the parent function of a quadratic?

Which transformation transforms the graph of f(x) = x² to the graph of g(x) = (x + 4)²? Options: shift 4 units up, shift 4 units down, shift 4 units to the left, shift 4 units to the right

How did we transform from y=x² to y = -3x²?

If the blue graph is
f(x) = x² 
the red must be... Options: g(x) = (x + 3)², g(x) = (x - 3)², g(x) = x² + 3, g(x) = x² - 2

Does the graph of the equation y= 5(x - 5)² + 3 widen or narrow from the parent function?

If the blue graph is
f(x) = x² 
then the red must be...

If red represents y = x², which equation represents blue?

If the function f(x) = x² is changed so that a new function is created, g(x) = 5x², how does g(x) compare to f(x)?

Which describes the transformation of the graph of f(x) = x² to the graph of g(x) = -4x² ?