Given the function f(x) = 3(x − 3)2 + 2, indicate the shifts that will affect 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)

Question

Given the function f(x) = 3(x − 3)2 + 2, indicate the shifts that will affect 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)

neer2890 · Answer

f(x+4) shifts the function f(x), 4 units left on negative x axis.
f(x)+4 shifts the function f(x), 4 units up on positive y axis.
f(4x) will 1/4th the y coordinate only.( x remains as it is).
4f(x) will increase the y coordinate 4 times(x remains as it is).

neer2890 · Answer

$$f(x)=3(x-3)^{2}+2$$
use the graph to plot f(x)|dw:1403717350442:dw|

neer2890 · Answer

|dw:1403717442893:dw|