write an equation for each translation y=sin x,pi/4 units to the right
3 answers
y = sin(x - pi/4)
write an equation for each translation y=sinx,pi/4 units to the right please explain
The equation y = sin(x) represents the graph of the function y = sin(x) without any translations applied to it.
To translate the graph pi/4 units to the right, we need to shift every point on the graph to the right by pi/4 units. This means that the x-coordinate of every point should be increased by pi/4.
This can be accomplished by replacing the x in the equation y = sin(x) with (x - pi/4), since (x - pi/4) represents the new shifted value of x after increasing it by pi/4.
Therefore, the equation for the translation of y=sin(x), pi/4 units to the right is:
y = sin(x - pi/4)
To translate the graph pi/4 units to the right, we need to shift every point on the graph to the right by pi/4 units. This means that the x-coordinate of every point should be increased by pi/4.
This can be accomplished by replacing the x in the equation y = sin(x) with (x - pi/4), since (x - pi/4) represents the new shifted value of x after increasing it by pi/4.
Therefore, the equation for the translation of y=sin(x), pi/4 units to the right is:
y = sin(x - pi/4)
1 answer