Question

Question Please use the Graphing Trig Functions Reference Sheet to answer the following question: What transformation of the graph of y = cos x results in the graph of y = cos (x + π2) ? (1 point) Responses Vertical shift up π2 units. Vertical shift up pi over 2 units. Vertical shift down π2 units. Vertical shift down pi over 2 units. Horizontal shift left π2 units. Horizontal shift left pi over 2 units. Horizontal shift right π2 units. Horizontal shift right pi over 2 units. Skip to navigation

Answer 1

The transformation from the graph of \( y = \cos x \) to \( y = \cos\left(x + \frac{\pi}{2}\right) \) involves a horizontal shift of the graph. Specifically, since the function is \( \cos \) of \( (x + \frac{\pi}{2}) \), this indicates a shift to the left.

Therefore, the correct transformation is: **Horizontal shift left \( \frac{\pi}{2} \) units.**