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Help, i will send you the rest of the graphs

Help, i will send you the rest of the graphs-example-1
Help, i will send you the rest of the graphs-example-1
Help, i will send you the rest of the graphs-example-2
Help, i will send you the rest of the graphs-example-3
User Tiguchi
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1 Answer

7 votes

From the information given in the statement, you can see that the original function, before the transformation, is


g(x)=x^2

Now, by the rules of transformation of functions you know that:

*g(x - h) moves the function g(x) h units right

*g(x) + k moves the function g(x) k units up

So, in this case, you have


\begin{gathered} f(x)=(x-3)^2+5 \\ h=3 \\ k=5 \end{gathered}

Which implies that the original graph will move 3 units to the right and 5 units up.

Therefore, the graph that represents the given quadratic function is the graph of option B.

Help, i will send you the rest of the graphs-example-1
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User KingOtto
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