Trigonometric Graphs

Consider the given graph of $y=\cos\left(x+\frac{\pi}{2}\right)$`y`=`c``o``s`(`x`+π2).

Loading Graph...

a

What is the amplitude of the function?

b

How can the graph of $y=\cos x$`y`=`c``o``s``x` be transformed into the graph of $y=\cos\left(x+\frac{\pi}{2}\right)$`y`=`c``o``s`(`x`+π2)?

By reflecting it about the $x$`x`-axis, and then translating it horizontally $\frac{\pi}{2}$π2 units to the left.

A

By reflecting it about the $x$`x`-axis, and then translating it horizontally $\frac{\pi}{2}$π2 units to the right.

B

By translating it horizontally $\frac{\pi}{2}$π2 units to the right.

C

By changing the period of the function.

D

By translating it horizontally $\frac{\pi}{2}$π2 units to the left.

E

By reflecting it about the $x$`x`-axis, and then translating it horizontally $\frac{\pi}{2}$π2 units to the left.

A

By reflecting it about the $x$`x`-axis, and then translating it horizontally $\frac{\pi}{2}$π2 units to the right.

B

By translating it horizontally $\frac{\pi}{2}$π2 units to the right.

C

By changing the period of the function.

D

By translating it horizontally $\frac{\pi}{2}$π2 units to the left.

E

Easy

Less than a minute

Sign up to try all questions

Display and interpret the graphs of functions with the graphs of their inverse and/or reciprocal functions