Respuesta :
-f(x) is reflection over the x-axis
f(x-4) is a horizontal translation 4 units to the right
f(x)-4 is vertical translation 4 units down
-f(x) is a reflection over the x-axis
These steps are function notations transformations rules
f(x-4) is a horizontal translation 4 units to the right
f(x)-4 is vertical translation 4 units down
-f(x) is a reflection over the x-axis
These steps are function notations transformations rules
Answer:
1) [tex]-f(x)[/tex] is reflection over the x-axis.
2) [tex]f(x-4)[/tex] is a horizontal translation 4 units to the right.
3) [tex]f(x)-4[/tex] is vertical translation 4 units down.
4) [tex]4f(x)[/tex] is a 4*multiplied reflection over the x-axis. (latter described in comments)
Step-by-step explanation:
These steps are function notations transformations rules.
f(x) represent a function on x-axis thus,
1) [tex]-f(x)=-(f(x))[/tex] is reflection over the x-axis opposite of [tex]f(x)[/tex]
2) [tex]f(x-4)=f(x)-f(4)[/tex] horizontal translation 4 units to the right
3) [tex]f(x)-4[/tex] is vertical translation of 4 units down on y-axis.
4) [tex]4f(x)=4*(f(x))[/tex] 4*multiplied reflection over the x-axis.
Note: The 4th point is latter described in comment so it is changed in the answer different from described in question (wrong).