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?

Algebra ->  Polynomials-and-rational-expressions -> 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?      Log On


   



Question 115512: 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) About Me  (Show Source):
You can put this solution on YOUR website!
b)

From this graph, we can see the vertex is (0,6). So this means h=0 and k=6

So we'll follow the same routine as we did for part a)

y=%28x-h%29%5E2%2Bk Start with the general equation in vertex form. In this case, a=1


y=%28x-0%29%5E2%2B6 Plug in h=0 and k=6.


y=x%5E2%2B6 Rewrite x-0 as x.



So the equation of the parabola that has been shifted 6 units up is y=x%5E2%2B6