Can someone help? It’s for geometry
2 answers:
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Answer: A = 4 P = π PS = -π/2
<u>Step-by-step explanation:</u>
y = A sin(Bx - C) + D where
- A is the amplitude
- Period = 2π/B
- Phase Shift = C/B
- D is the vertical shift
Given: y = -4 sin(2x + π) - 3
- A (amplitude) = 4 <em>the negative sign is a reflection, not amplitude</em>
- B = 2
- C = -π
- D = -3
Amplitude = 4
Answer:
yes
Step-by-step explanation:
There are several ways to go at this.
My first choice is to use a graphing calculator. It shows the function has a zero at x=5, so x-5 is a factor.
Another good choice is to use synthetic division (2nd attachment). If the remainder is zero, then x-5 is a factor. It is and it is.
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You can also evaluate the function at x=5. The remainder theorem tells you that if the value is zero, then x-5 is a factor. Evaluating the polynomial written in Horner form is a lot like synthetic division.
(((x -4)x -15)x +58)x -40 for x=5 is ... (-10·5 +58)5 -40 = 40-40 = 0
The value of h(5) is zero, so x-5 is a factor of h(x).
