Question

Given the function f(x) = 2(x – 1)2 + 1, indicate the shifts that will affect the location of the vertex, and explain what effect they will have. Use complete sentences.

f(x+3)
f(x) + 3
f(3x)
3⋅f(x)

Answer 1

f(x+3)= f(x-(-3))-->moves graph 3 units to the left.

Answer 2

f(x)+3-->moves graph 3 units up

Answer 3

f(3x)-->shrink graph horizontally by a factor of 1/3

Answer 4

3(f(x)-->stretch function vertically by a factor of 3

Answer 5

Help?

Answer 6

yes, but how did you do it?