Vertex Form of Quadratic Functions

Identify the transformations of the following graph $$y=-\left(x-2\right)^2+3$$

The graph ​ (a)   reflected

The graph's size has been ​ (b)  

The graph is shifted ​ (c)   2

The graph is moved ​ (d)   3

Identify the transformations of the following graph $$y=\frac{1}{2}\left(x-4\right)^2-8$$

The graph ​ (a)   reflected

The graph's size has been ​ (b)  

The graph is shifted ​ (c)   4

The graph is moved ​ (d)   8

Identify the transformations of the following graph $$y=-2\left(x+3\right)^2-7$$

The graph ​ (a)   reflected

The graph's size has been ​ (b)  

The graph is shifted ​ (c)   3

The graph is moved ​ (d)   7

Write an quadratic function that has been:
stretched by a factor of 3,

then translated 4 units up

Write an quadratic function that has been:
reflected over the x-axis,

compressed by a factor of $$\frac{1}{4}$$ ,

then translated 3 units right,

and 5 units down