Help with Circular Functions transformation question

[kj2001]

Hi
Can anyone help with this question
State a sequence of two  transformations that takes the graph f to the new graph h.

f:[0,4] --- R  f(x) = 6 sin (nx/2)   to h:[-3,1]---R, h(x) = 6 cos (nx/2)    That n should read as a pi sign.

I have tried reflecting in each axis, and translated 3 and 4 units to the left but can't get it to fit neatly into the (-3,1) domain.

Thanx KJ

[VanillaRice]

Hi there,

I'm not sure what you mean by "translated 3 and 4 units to the left", but try:

- Reflection in the y-axis
- Translation of 1 unit to the right (in the positive x-direction)

Using the symmetry properties of sin and cos, you should be able to get to the final domain and answer.

Hope this helps

[MAGGOT]

Similar to what Vanilla was thinking.
→ Graph the 2 functions and apply the symmetry properties of sin and cos

• Reflection in the y-axis
• Translation π/2 right(or in positive direction of the x-axis)