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)

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)

welshfella · Answer

f(x) --- > f(x + 3)  is a horizontal shift 3 units to the left

welshfella · Answer

https://www.mathsisfun.com/sets/function-transformations.html - this will help