YOUR TURN:

Graphx = -( y - 3 )^2
 
Graphx = 2( y + 1 )^2

 


Finally, we've got the shifts that are hanging off on the end:

Standard Parabola Guy:

y = x^2 - 3  ... - 3  ...  shifts down 3

* shifts 3 towards negatives!

Standard Parabola Guy shifted down 3 to y = -3

y = x^2 + 1  ...  + 1  ...  shifts up 1

* shifts 1 towards positives!

Standard Parabola Guy shifted up 1 to y = 1


y = x^2 + k
These go together...
y is an up-n-down guy, so k is an up-n-down shift.

(

some people actually write the graphing form this way to really lock them together:

( y - k ) = a( x - h )^2

)