SOLUTION: Suppose the graph of is shifted to obtain each the following graphs. What is the equation of the function, g(x), for each graph?

Question 115511: Suppose the graph of is shifted to obtain each the following graphs. What is the equation of the function, g(x), for each graph?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a)
Remember, if an equation is in vertex form , then we know the vertex is (h,k)
Since we can see that the vertex is (-6,0), this means h=-6 and k=0

Start with the general equation in vertex form. In this case, a=1

Plug in h=-6 and k=0.

Rewrite as .

Remove the zero term.

So the equation of the parabola that has been shifted 6 units to the left is

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