CPM Homework Help : INT3 Problem 10-71

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

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

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

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

$y = \text{sin}\left(x\right) - 3$

$y = -\text{sin}( 2 ( x - \frac { \pi } { 8 } ) )$

Compute without a calculator

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