Question

Choose the graph of the function y = -tan 4x.
I narrowed it down to two, but I can't tell which one is correct>.<

Answer 1

if you plugged in x = pi/4, would you get y = 0?

Answer 2

like y = -tan(pi/4)?

Answer 3

y = -tan(4x)

y = -tan(4*(pi/4) ) ... replace x with pi/4

y = ???

Answer 4

yes

Answer 5

y = 0

Answer 6

keep in mind that, regular period for tangent is \(\pi\)
$$
tan(\color{red}{B}x)\\
\text{new period is based on, regular period/B}\\
-tan(\color{red}{4}x)\\
\text{new period = } \frac{\pi}{\color{red}{4}}\\
$$

Answer 7

so the point (pi/4, 0) is on the graph

Answer 8

OHHHHHHHHHHHHHHHHHH THAT'S SO EASY

Answer 9

Thanks, guys(:

Answer 10

yeah just picking on x-intercepts usually does the trick

yw

Answer 11

and this one has a negative in front of it
so the the "regular tangent" upside down