Hi.
there are some properties that you should understand.
first is your horizontal shift as defined by h(x) = f(x+c): which would move your parabola c units to the left of the origin. think + as left, and - as right
and then your reflection as defined by h(x) = -f(x): which is a reflection in the x-axis, from the negative on the outside.
-(x+4)^2 (reflection and shift left, 4 units)
you should be able to figure out what you need from there.
Your vertex is going to be (-4,0)
Questions to think about: Reflecting y=x^2 over the x-axis would make the parabola open up or down? The coordinates of your vertex tells you what about your axis of symmetry?
EDIT: you just changed your post and added a -2. ask one question at a time.
