What steps transform the graph y = x² to y = x² + 8

What would the equation for the new quadratic function be if it was vertically shifted up 3 units from the function f(x)=4x²+2?

A quadratic is reflected down when the value of a is negative.

Will there be a reflection from graph y = x ² - 7 to the graph y =x²

Will there be a reflection from graph f(x) = x² to the graph of g(x) = -x²

Given f(x) = -x² , how did we transform from the parent function?

Given $$f\left(x\right)=\frac{1}{4}x²$$  how did we transform from the parent function?

Which quadratic would be the narrowest?

Which list orders the quadratic functions from narrowest to widest?

How did we transform from y=x²

-------> y = $$\frac{1}{5}$$  x²-2

How did we transform from y=x²

-------> y =-3x²+4