How do you graph $y = 4 - sin 3 (x - \frac{π}{3})$ $y=4-sin3(x-pi/3)$ ?

Question

How do you graph $y = 4 - sin 3 (x - \frac{π}{3})$ $y=4-sin3(x-pi/3)$ ?

1 Answer

Impact of this question

1924 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-08-03T02:06:57

As below.

Explanation:

Standard form of a sine function is $y = A sin (B x - C) + D$ $y = A sin (Bx - C) + D$

Given : $y = - sin (3 x - \frac{3 π}{3}) + 4$ $y = - sin (3x - (3pi)/3) + 4$

$A = - 1, B = 3, C = π, D = 4$ $A = -1, B = 3, C = pi, D = 4$

$A m p l i t u d e = | A | = | - 1 | = 1$ $Amplitude = |A| = |-1| = 1$

$Period = \frac{2 π}{| B |} = \frac{2 π}{3}$ $"Period " = (2pi) / |B| = (2pi)/3$

$Phase Shift = \frac{- C}{B} = \frac{- \frac{3 π}{3}}{3} = - π, π to the LEFT$ $"Phase Shift " = (-C) / B = (-(3pi)/3) / 3 = -pi, color(red)(pi " to the LEFT"$

$Vertical Shift = D = 4$ $"Vertical Shift " = D = 4$

graph{- sin(3x - pi) + 4 [-10, 10, -5, 5]}

Science

Math

Humanities

... and beyond

How do you graph $y = 4 - sin 3 (x - \frac{π}{3})$ $y=4-sin3(x-pi/3)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you graph y=4−sin3(x−π3)y=4-sin3(x-pi/3)?

1 Answer

Explanation:

Related questions

Impact of this question

How do you graph $y = 4 - sin 3 (x - \frac{π}{3})$ $y=4-sin3(x-pi/3)$ ?