39.8k views
1 vote
Graph 1: Please help me sketch the graph of this equation. Please include:

1. the maximum and minimum
2. the midline
3. the period and rate constant
4. formula for the function
5. label the parts​

Graph 1: Please help me sketch the graph of this equation. Please include: 1. the-example-1

1 Answer

5 votes

Answer: see answers below

Explanation:

y = A cos (Bx - C) + D

  • A is the amplitude
  • Period = 2π/B → B = 2π/Period
  • Phase shift = C/B
  • D is the vertical shift (aka midline)

Given: A = -3, B = π/20, C = 0, D = 5

1) midline (D) ± amplitude (A) = Max & Min

Max: 5 + 3 = 8

Min: 5 - 3 = 2

2) Midline (D) is given as 5

3) Period = 2π/B = 2π/(π/20) = 40

4) Formula is given as: y = -3 cos (π/20)x + 5

5) change the coordinates of y = cos (x) and as follows:

  • x-value: add C and divide by B
  • y-value: multiply by A and add D

Note that A = -3, B = π/20, C = 0, D = 5


\begin{array}ccc\underline{\qquad x\qquad}&\underline{\qquad y\qquad}&&\underline{\quad (x+C)/ B\quad}&\underline{\quad Ay+D\quad}\\0&1&&0&2&minimum\\\pi/2&0&&10&5&midline\\\pi&-1&&20&8&maximum\\3\pi/2&0&&30&5&midline\\2\pi&1&&40&2&minimum\\\end{array}

Graph 1: Please help me sketch the graph of this equation. Please include: 1. the-example-1
User Gusridd
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories