Find an equation of cosine function with maximum of 7, minimum of -7 and period of 7
1 answer:
Answer:
<u>Step-by-step explanation:</u>
y = A cos (Bx - C) + D
- A = amplitude (vertical stretch)
- Period = 2π/B
- C/B = phase shift
- D = vertical shift
The minimum is -7 and the max is 7 so A = 7 and D = 0
Period is 7. Since P = 2π/B then 7 = 2π/B --> B = 2π/7
Nothing was stated about a phase shift so you can use any value for C. I chose C = 0.
Now, input A = 7, B = 2π/7, C = 0, & D = 0 into the equation
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Note: In option A, it should be "+" instead of "(".
Given:
The expression is
To find:
The equivalent expression.
Solution:
We have,
Using distributive property, we get
On combining like terms, we get
The expression is equivalent to the given expression.
Therefore, the correct option is A.