Can someone help me with this?

**y=-2+sin(3Ø)-π/3**

Amplitude

Period

Verticle Shift

Y- intercept

**y=2 tan(Ø)+1**

Verticle Stretch

Period

Phase Shift

Verticle Shift

Y-intercept

jbouyer Dec 17, 2018

#1**+3 **

y = - 2sin (3θ) -pi/3

Amplitude = l -2 l = 2

Period = the "3" indicates that there are 3 periods in 2pi....thus each period is 2pi/3 rads long

Verticle Shift = -pi/3 units down

Y- intercept.....to find this, set θ to 0 and we have :

y = -2 sin (3 * 0) - pi / 3

y = -2 sin (0) - pi / 3

y = 0 - pi/3

y = - pi/ 3 ⇒ y intercept

Here's the graph : https://www.desmos.com/calculator/er5ysgihkp

CPhill Dec 17, 2018

#2**0 **

Where can I get the θ (theta) symbol that looks like an O with a / through it? (The one that jbouyer used)

In \(\LaTeX\), it is \(θ\).

PartialMathematician
Dec 17, 2018

#3**+3 **

y = 2tan ( θ) + 1

Verticle Stretch - the "2" indicates that this graph is stretched by a factor of 2 from the normal tangent graph

Period - same period as the normal tangent graph......pi rads

Phase Shift - there is no phase shift

Verticle Shift - the "1" means it is shifted up one unit

Y-intercept....let θ = 0 and we have

y = 2 tan (0) + 1

y = 2(0) + 1

y = 1 ⇒ y intercept

Here's the graph : https://www.desmos.com/calculator/v5o9vci8rf

CPhill Dec 17, 2018