Question

HELP ME FIND THE ZEROS
I got super lost and confused myself
y=3sin(x-(pi/4))

Answer 1

simplify?

Answer 2

recall from the transformations \(\large \begin{array}{llll}
y=3sin&\left(x-\frac{\pi}{4}\right)\\
&\qquad \uparrow \\
&\textit{horizontal shift}
\end{array}\)

Answer 3

so the zeros will be the same as for sin(x), just shifted over to the right that much

Answer 4

soo how do I write that in an equation
I think it goes something like +/- pi/4 n

Answer 5

hmmm well, the zeros will be when the graph touches the y-axis
so you're just being asked on what is the value of "x" at those points, that is, what angles

find them on the parent function of sin(x) and shift them horizontally THAT MUCH to get it for this function

Answer 6

ahhhhh im so sorry you are giving sucha great explanation I am just soo lost

Answer 7

graph sin(x)
notice where the zeros happen
then shift that by \(\bf \frac{\pi}{4}\) to the left

Answer 8

ahemm to the right rather

Answer 9

is the answer 1/3+ pi/4 N

Answer 10

@jdoe0001