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

Jul 28, 2018

As below

#### Explanation:

Standard form of secant function is $y = A \sec \left(B x - C\right) + D$

$y = \sec \theta + 2$

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

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

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

$\text{Phase Shift } = - \frac{C}{B} = 0$

$\text{Vertical Shift } = D = 2$

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