Question

How do you find the amplitude, period, vertical and phase shift and graph `y=sectheta+2`?

Answer 1

As below

Explanation:

Standard form of secant function is `y = A sec (Bx - C) + D`

`y = sec theta + 2`

`A = 1, B = 1, C = 0, D = 2`

`Amplitude =color(chocolate)( "NONE, for secant function"`

`"Period ' = (2pi) / |B| = (2pi) / 1 = 2pi`

`"Phase Shift " = -C / B = 0`

`"Vertical Shift " = D = 2`

graph{sec x + 2 [-10, 10, -5, 5]}