please help!! explain and use complete sentences

Mathematics
Tutor: None Selected Time limit: 1 Day

Given the function f(x) = 4(x + 1)2 − 3, indicate the shifts that will affect the location of the vertex, and explain what effect they will have. Use complete sentences.

  • f(x−2)
  • f(x) − 2
  • f(2x)
  • 2•f(x)
Apr 26th, 2015

f(x−2) = 4(x - 2 +1)^2 - 3 = 4(x - 1)^2 - 3

f(x) − 2 = 4(x + 1)^2 - 3 - 2 = 4(x + 1)^2 - 5

f(2x) = 4(2x + 1)^2 - 3

2*f(x) = 2 [4(x + 1)^2 - 3] = 8(x + 1)^2 - 6

Apr 26th, 2015

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