Methods2025 Exam 2 Section A · Q3CAS active1 mark

Graph of a reflected and translated function

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

Graph of y = f(x) for x from -4 to 4. It starts near (-4, 0.5), crosses the x-axis at -3, has a minimum near (-2, -0.7), crosses at -1, has a maximum at (0, 1), crosses at 1, has a minimum near (2, -1.4), crosses at 3 and ends at (4, 2).

Option A: curve starting at (-4, 3), dipping below the x-axis to a minimum near (-2, -0.4), rising to a maximum at (0, 2), falling to a minimum near (2, 0.3), and ending near (4, 1.5).

Option B: curve starting at (-4, 4), falling to a minimum near (-2, 0.6), rising to a maximum at (0, 3), falling to a minimum near (2, 1.3), and ending near (4, 2.5).

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

1 mark

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

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