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. Use complete sentences.
f(x + 4)
f(x) + 4
f(4x)
4•f(x)

Answer 1

dam this is confusing

Answer 2

well thank you for the statement but I really need help.

Answer 3

i've been trying to solve it for 15 minutes

Answer 4

f(x) = 3(x − 3)^2 + 2
is like
f(x) = a(x-h)^2 + k
where h, k is the vertex of the parabola, so the vertext of the parabola is (3, 2)

so, if we have
f(x+4) then
f(x+4) = 3((x+4) − 3)^2 + 2
f(x+4) = 3(x+4 − 3)^2 + 2
f(x+4) = 3(x+1)^2 + 2
f(x+4) = 3(x-(-1))^2 + 2
so, this now has a vertex of (-1, 2), so the f(x+4) shifted the vertex to the left 4 units.

making sense?

Answer 5

Yes, thank you!

Answer 6

^_^