CPM Homework Help : A2C Problem 8-146

Match each equation with the appropriate graph. Do this without using a graphing calculator.

Compute without a calculator

$y=\sin\left(x+\frac{\pi}{2}\right)$

$y = \sin\left(2x\right)$

$y=2\sin\left(\frac{x}{2}\right)$

$y = \sin\left(x\right) − 3$

$y = −\sin[2(x − \frac { \pi } { 8 })]$

Repeating wave curve #1, first visible high & low points: (negative pi eighths, comma 1) & (3 pi eighths, comma negative 1), continuing in that pattern, just past 3 pi halves.

Repeating wave curve #2, first visible high & low points: (0, comma 1) & (pi, comma negative 1), continuing in that pattern, just past 5 pi halves.

Repeating wave curve #3, first visible high & low points: (pi halves, comma negative 2) & (3 pi halves, comma negative 4), continuing in that pattern, just past 3 pi.

Repeating wave curve #4, first visible low & high points: (negative pi fourths, comma negative 1) & (pi fourths, comma 1), continuing in that pattern, just past 2 pi.

Repeating wave curve #5, first visible high & low points: (pi, comma 2) & (3 pi, comma negative 2), continuing in that pattern, just past 5 pi.

Answer:

(a) $2$
(b) $4$
(c) $5$
(d) $3$
(e) $1$