find the following

Question

if f(x) = -sec(2x - π/4) + 1 , then find the following

the domain of f(x)

the range of f(x)

the amplitude of f(x)

the phase/horizontal shift of f(x)

the vertical shift of f(x)

Answer 1

Domain: 2x - π/4 ≠ π/2 + πn; x ≠ 3π/8 + πn/2, where n = 0, ±1, ±2, ±3, ...

Range: (- ≈, -1] U [1, ∞)

Amplitude: DNE

Horizontal shift: π/8

Vertical shift: 1 up