Question

Complete the following to analyze the graph shown.

The graph follows the pattern for the sine function: (A. max-zero-min-zero-max) (B. zero-max-zero-min-zero) (C. zero-min-zero-max-zero) (D. min-zero-max-zero-min), starting at the origin. So, a is (A. positive) (B. negative) (C. zero). The maximum value is ___ and the minimum value is ___. So, the amplitude of the function, |a|, is ___. The vertical translation is k = ___.

Answer 1

1.) zero-max-zero-min-zero

2.) positive

3.) 5

4.) -5

5.) 5

6.) 0

7.) 5

Answer 2

At zero, the value of the function is zero. It then rises to its maximum value, then falls to zero and then to its minimum value and then back to zero.

So, the graph follows the pattern of Sine Function: (B. zero-max-zero-min-zero) starting at the origin. This suggest the coefficient a of the sine function is positive.

Maximum value of the function as seen from the graph is 5, and the minimum value is -5. So the amplitude of the function is 5 and the vertical translation k = 0 as the graph rises equally above and below x-axis.