Mrs. Higgins graphed the function f(x) = -
She asked her students to transform f(x) 9 spaces down and 4 spaces to the right.
Shari's answer was f(x) = -26)***
CITS
answ
Drew's answer was f(x) =
27 29
Joel's answer was f(x) = -2G
answ
-
10 /
27 2-9
Chris's answer was f(x) =
+
4
Which student was correct?
A
Shari
BDrew
(C) Joel
Chris

f(x - 4) - 9

Step-by-step explanation:

The exact value of f(x) is missing, but I can give a general answer, which can be changed for any value of f(x).

Following transformation is applied on the function f(x):

9 spaces down and 4 spaces to the right.

This is a combinations of 2 transformations:

1) 9 spaces down:

This is a vertical translation. Vertical translation of f(x) is represented as:

f(x) + k

Here, k represents the number of units(spaces) by which f(x) is translated vertically. A positive value of k means upward translation and a negative value means downward translation. So, if we want to move f(x) 9 spaces down, the resulting expression will be:

f(x) + (-9) = f(x) - 9

So, in order to shift a function 9 units(spaces) down, simply subtract 9 from the function value.

2) 4 spaces to right:

This is a horizontal translation. Horizontal translation of f(x) is represented as:

f(x + C)

Here, C represents the number of units(spaces) by which f(x) is translated horizontally. A positive value of C means leftwards translation and a negative value of C means rightward translation. So, if we want to move f(x) by 4 spaces(units) to right, the expression will be:

f(x + (-4)) = f(x - 4)

So, in order to shift the function 4 units(spaces) to right, replace every occurrence of x by x - 4.

Combining both the transformations, the resulting expression will be:

f(x - 4) - 9

This is the expression after translation f(x) 9 spaces down and 4 spaces to the right.

16

step-by-step explanation:

2 x 40 = 80

80/5

= 16

y = -1

x = 8

hope this !