Question

Just the answer please.
1: http://imgur.com/y7lhZjK

2: http://imgur.com/N480aCq

Answer 1

Answer on Question #58631 – Math – Trigonometry

Question

1. Consider the function $y = -2 - 3\cos(x + \pi)$.

What effect does the $\pi$ have on the basic graph?

- Horizontal shift right $\pi$ units

- Vertical stretch by factor $\pi$

- Horizontal shift left $\pi$ units

- Vertical shift down $\pi$ units

**Answer:** Horizontal shift left $\pi$ units.

Question

2. Which equation represents a phase shift of $\frac{\pi}{2}$ units left for the graph of $y = \cos x$?

$$y = \sec x$$ $$y = \cos \left(x + \frac{\pi}{2}\right)$$ $$y = \sin \left(x - \frac{\pi}{2}\right)$$ $$y = \csc x$$

**Answer:** $y = \cos(x + \pi/2)$.

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