SOLUTION: I need some help with these problems: Suppose the graph of y = x^2 is shifted to obtain each the following graphs. What is the equation of the function, g(x), for each graph?

Question 108423: I need some help with these problems:
Suppose the graph of y = x^2 is shifted to obtain each the following graphs. What is the equation of the function, g(x), for each graph?

The first graph is a u shape coming down straight in the middle where the vertex is -3 and comes down at -2 and comes up at 2 (I wish I could show you the graph, I can't copy and paste it)
The second shows again a u shape pattern on the quadrant one side where the vertex comes down at 4.

Here are some more, Consider the following graph of y = f(x). Perhaps if you can draw this graph up cause I'm trying everything and I can't seem to.
If h(x) = f(x) + 2, what would the new coordinates of P be after the shift? Give answer in (x, y) form.
If , what would the new coordinates of P be after the reflection? Give answer in (x, y) form.
Any help would be greatly appreciated. Thank you

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You have to do a better job of describing your graphs.
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The 1st sounds like a parabola. If so you need only
describe how the vertex position changes.
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The 2nd is more confusing so I have no suggestion.
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Cheers,
Stan H.
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