Given the function f(x) = 3(x-3)^2 + 2, indicate the shifts that will effect the location of the vertex and explain what effect they will have.

f(x+4)
f(x) + 4
f(4x)
4*f(x)

Question

Given the function f(x) = 3(x-3)^2 + 2, indicate the shifts that will effect the location of the vertex and explain what effect they will have.

f(x+4)
f(x) + 4
f(4x)
4*f(x)

anonymous · Answer

Can someone please help me, I am a bit stuck on this....

anonymous · Answer

@hartnn can you please help me???

anonymous · Answer

f(x) + 4 will take the graph of f(x) and raise it vertically 4 units up.
f(x+4) is the graph of f(x) shifted 4 units to the left.
4f(x) will take the graph of f(x) and compress it vertically (it becomes skinnier).

anonymous · Answer

Thank you very much, and what about the f(4x), would it make the graph larger vertically?

anonymous · Answer

Here is another way to look at it. I have linked my explanation. http://www.demonstranda.com/book/questionDetails/322