trig

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y = sin(-3x + 3)

Amplitude =
Period =
Two x- intercepts =
y - intercept =
Domain =
Range =
Shift along x =
Shift along y =
Kind of reflection =

  • trig -

    y = sin(-3x + 3)
    sin (-a) = -sin a
    so I am going to say
    y = -sin (3x-3)

    Amplitude = 1 implicitly
    Period =
    from x = 0 to 3x = 2 pi or x = (2/3) pi so period = 2 pi/3
    Two x- intercepts =
    y = 0 when 3x-3 = 0 or x = 1
    y = 0 when 3 x - 3 = pi or x = (pi + 3)/3
    y - intercept =
    when x = 0, y = - sin 3
    Domain = all real x
    Range = -1 </= y </= +1
    Shift along x = when angle is -3
    Shift along y = none
    Kind of reflection = do not know what this means

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