# Mathematics

A sine function has the following key features:

Period = 4

Amplitude = 3

Midline: y=−1

y-intercept: (0, -1)

The function is not a reflection of its parent function over the x-axis.

Use the sine tool to graph the function. The first point must be on the mid-line and the second point must be a maximum or minimum value on the graph closest to the first point.

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1. All of your 5 posts dealing basically with the same type of problem contain the
instruction "Use the sine tool to graph the function". We would have no idea what this.
I can find the equation and you can go from there
basic sine equation:
y = a sin k(x + d) + c
Period = 4 ---> 2π/k = 4 ----> k = π/2
y = a sin π/2k(x + d) + c
Amplitude = 3
y = 3 sin π/2(x + d) + c
Midline: y=−1 ----> c = -1
y = 3 sin π/2(x + d) - 1
y-intercept: (0, -1) ---> when x = 0, y = -1
-1 = 3sin π/2(0+d) - 1
sin π/2 d = 0
π/2d = 0
d = 0

y = 3 sin ((π/2)(x) - 1

verification:
https://www.wolframalpha.com/input/?i=y+%3D+3+sin+%28%28%CF%80%2F2%29%28x%29%29+-+1

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👨‍🏫
Reiny

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