PLEASE HELP ILL GIVE A BRAINLIEST TO BEST ANSWER THAT SHOWS ALL WORK AN DIS CORRECT

Let f(x) represent a function.
Which descriptions match the given transformations?
Write in the correct description. Select from the following descriptions:
(Please note – not all descriptions may be used)
a) (x) is translated up 4 units
b) (x) is translated 4 units left
c) (x) is vertically stretched by a factor of 4
d) (x) is translated 4 units right
e) (x) is translated 4 units down
f) (x) is reflected across the x-axis

−f(x)______
fill in the blanks
f(x−4)______

f(x)−4_______

-f(x)________

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

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).