Question

Which of the following functions has a graph in which the vertex and axis of symmetry are to the left of the vertex and axis of symmetry ofof f(x) = (x-1)2 + 1? Select all that apply.A.g(x) =2(x - 1)2 - 1

Answer 1

The given function is

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

For a function whose vertex and axis of symmetry are to the left of the given function, the function would show a horizontal translation of the given function to the left by a certain number of units.

Recall, if a function, f(x) is translated d units to the left, the new function is

f(x + d)

Looking at the options,

Option B shows a horizontal translation of 2 units to the left

Option E shows a horizontal translation of 3 units to the left

Option F shows a horizontal translation of 2 units to the left

Thus, the correct options are B, E, F