Drag the slider to explore changing the value of a in the graph of y = asin(x).

When a = 4, the minimum is -4
and the maximum is 4
When a = -4, the minimum is -4
and the maximum is 4

Te trigonometric function sin(x) has values such:

-1 ≤ sin(x) ≤ 1

Then the minimum value is -1 and the maximum is 1.

If we have the function:

f(x) = a*sin(x)

We have that the extremal values are when sin(x) is 1 or -1.

So if a is positive, the maximum value is a and the minimum value is -a

if a is negative, the minimum value is a and th maximum value is -a.

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls