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# Can someone help me with this?

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355
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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

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   Dec 17, 2018
#2
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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   Dec 17, 2018