Methods2024 Exam 2 Section A · Q12CAS active1 mark

Graph of a transformed function y = f(2x + 1)

The graph of $y = f(x)$ is shown below.

Graph of y = f(x): the curve rises steeply from below near x = -1.8, flattens at a stationary point of inflection near (-1, 1), passes through (0, 2), reaches a local maximum near (0.8, 2.7), falls to a local minimum at (2, 1), then rises steeply.

Option A: a horizontally compressed version of the graph, with a stationary point of inflection near (-1, 1), a local maximum near (-0.1, 2.7) and a local minimum at about (0.5, 1).

Option B: a horizontally compressed version of the graph, with a stationary point of inflection near (-1.5, 1), a local maximum near (-0.6, 2.7) and a local minimum at (0, 1).

Which of the following options best represents the graph of $y = f(2x + 1)$ ?

1 mark

AGraph A (see diagram)BGraph B (see diagram)CGraph C (see diagram)DGraph D (see diagram)

Hints, answer checking and worked solutions come with a Season Pass.