Question

Which of the following is the graph of y = 0.5 sec (X +pi/3 ) -2

Answer 1

Answer:

See answers and explanations below (along with a graph)

Step-by-step explanation:

For a secant function y = a * sec(bx + c) + d:

Period: 2π/|b|

Phase shift: -c/b

Midline: d

Amplitude: |a|

For the given function y = 0.5sec(x + π/3) - 2:

Period: 2π (cycle repeats every 2π units)

Phase shift: -π/3 (π/3 units to the left of the parent function)

Midline: d = -2

Amplitude: a = 0.5