Read amplitude, period, phase shift, and midline from A sin(Bx+C)+D. The page traces how the inputs become sinusoid properties before rounding.
These parameters describe oscillations in signals, sound, tides, circular motion, and seasonal models.
In y=A sin(Bx+C)+D, |A| is amplitude, 2π/|B| is period, −C/B is phase shift, and D is the midline. Sinusoid Amplitude and Period can be compared with evaluate sine model.
The meaning of sinusoid properties follows from the relationship, so a different setup can produce a valid answer to a different question.
For 3sin(2x−1)+4, amplitude is 3, period is π, phase shift is 1/2, and midline is 4. This Sinusoid Amplitude and Period example can be compared with compare cosine form.
Reading C as the phase shift without first dividing by B is a frequent sign and scale error.
Changing only one field helps distinguish a data-entry problem from the intended behavior of sinusoid amplitude and period.
Factor B from the angle, then read the horizontal translation from x−h form.
Transfer the source entries one at a time under coefficient a, coefficient b, coefficient c and vertical shift d, keeping any units visible in your notes. This page can validate numerical ranges, but only the reader can confirm that each entry represents the intended quantity.
Changing A reflects or scales vertically; changing B alters both period and the conversion of C into shift. Trying a nearby input should follow this pattern; otherwise inspect the field assignment.
The sine-wave page evaluates a wave written directly with period and phase parameters. That neighboring measure needs its own setup rather than a relabeled answer.
Attach units and the name sinusoid properties whenever the answer leaves this page. A rounded value is suitable for presentation, while retained working digits are safer for a dependent calculation.
Copying only the decimal discards the setup. Pair the sinusoid properties with coefficient a, coefficient b, coefficient c and vertical shift d and the unit convention so another reader can reconstruct its meaning.
Sinusoid Amplitude and Period uses Coefficient A, Coefficient B, Coefficient C, and Vertical shift D. Rewrite Bx+C as B(x−h) and verify both h=−C/B and period 2π/|B| before reading the wave parameters.
For this sinusoid amplitude and period result, keep period, phase shift, horizontal units, and midline together; separating those parameters can describe a different wave with a similar-looking value.
In y=A sin(Bx+C)+D, |A| is amplitude, 2π/|B| is period, −C/B is phase shift, and D is the midline.
These parameters describe oscillations in signals, sound, tides, circular motion, and seasonal models.
Reading C as the phase shift without first dividing by B is a frequent sign and scale error.
Factor B from the angle, then read the horizontal translation from x−h form.