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

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

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Answer 1 · 2018-06-24T03:20:16

As below.

Explanation:

$y = - cot (3 x - \frac{π}{4})$ $y = - cot (3x - pi/4)$

Standard form of cotangent function is $y = A cot (B x - C) + D$ $y = A cot(Bx - C) + D$

$A = - 1, B = 3, C = \frac{π}{4}, D = 0$ $A = -1, B = 3, C = pi/4, D = 0$

$A m p l i t u d e = | A | = NONE for cotangent function$ $Amplitude = |A| = "NONE for cotangent function"$

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

$Phase Shift = - \frac{C}{B} = \frac{- \frac{π}{4}}{3} = - \frac{π}{12}, \frac{π}{12} to the LEFT$ $"Phase Shift " = -C / B = (-pi/4) / 3 = -pi/12, " " pi/12 " to the LEFT"$

$Vertical Shift = D = 0$ $"Vertical Shift " = D =0$

graph{- cot(3x - pi/4) [-10, 10, -5, 5]}

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

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