### Home > A2C > Chapter 14 > Lesson 14.9.1.2 > Problem9-27

9-27.

The graph at right is the result of a transformation of $y = \cos x$. Find a possible equation.

Focus on the two given points. What can it tell you?

1. The amplitude is $3$.
2. The period and frequency is normal.
3. The vertical shift is $5$.
4. The horizontal shift is $\frac{\pi}{2}$.

(Be careful when you write this in your equation.)

$y = 3\text{cos}\left(x - \frac{\pi}{2}\right) + 5$