Transformations of Quadratic Equations

Use the quadratic Equation to answer the following: $$y=-\frac{2}{3}\left(x+5\right)^2-8$$ when comparing to the parent function $$y=x^2$$ . The parabola would have ​ (a)   , Horizontal Shift ​ (b)   , Vertical Shift ​ (c)   , and the width of the parabola is a ​ (d)   ​ .

Shift f(x)=x² three units to the left and 4 units down

$$The\ parent\ function\ f\left(x\right)\ =\ x^2$$ has translated by reflecting (a)   ​ and moving (b)   and to the ​ (c)  

the final equation would look like ​ (d)  

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

$$The\ parent\ function\ f\left(x\right)\ =\ x^2$$ has translated by opening ​ (a)   ​ and moving (b)   and to the ​ (c)  

the final equation would look like ​ (d)  

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

"b" causes the parabola to horizontally*​ (a)   when $$b<1$$ .

*TYPO ON PACKET

Which choice below is NOT included in the transformation from   $$f\left(x\right)=x^2$$  to  $$g\left(x\right)=-0.7x^2+2$$  

"b" causes the parabola to horizontally ​ (a)   when $$b>1$$ .

Match each graph with how it would move according to the (h,k) shifts. The original graph is $$y=x^2.$$ It's graph is on the left.