Read amplitude, period, phase shift, and midline from A sin(Bx+C)+D. The page traces how the inputs become sinusoid properties before rounding.
Link Coefficient A to its Sinusoid Amplitude and Period role. Link Coefficient B to its Sinusoid Amplitude and Period role. The retained Sinusoid Amplitude and Period formula identifies the Sinusoid Amplitude and Period model.
Preserve Coefficient A when checking the Sinusoid Amplitude and Period output. Keep Coefficient B under the same convention and estimate Sinusoid properties. A controlled change to Coefficient C should move the Sinusoid Amplitude and Period Sinusoid properties in a mathematically consistent direction.
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.
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.
Use a familiar benchmark for Coefficient A to challenge the Sinusoid Amplitude and Period output. Apply the same Coefficient B and anticipate Sinusoid properties before calculating. This benchmark need not duplicate the problem; it only needs to reveal an implausible Sinusoid properties or reversed Sinusoid Amplitude and Period direction.
Check the direction of Sinusoid properties by changing Coefficient A slightly. Hold Coefficient B steady during this Sinusoid Amplitude and Period trial. The new Sinusoid properties should move as the Sinusoid Amplitude and Period relationship predicts unless the calculation crosses a stated boundary.
Record the original Coefficient A before changing Sinusoid Amplitude and Period. Keep Coefficient B with that record and attach its own Sinusoid properties. A later Sinusoid Amplitude and Period trial then remains distinguishable from the first calculation.
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.