Question

Select the correct answer.

If f(a)=√√, which equation describes the graphed function?
y4
-6
+
3
No
OA. y=f(-x) - 3
OB. y = -f(x) +3
OC. y=-f(x)-3
D. y=f(-x) +3
-1
+6
+5
+4
+3
+2
+1
-1
-2
-3
-5
--6
72
3
fin.
10
8

Answer 1

C: -f(x) - 3

Explanation:

See the attached graph.

The original equation is graphed as indicated by "1."

We can see that the line can be reflected along the x axis by adding a minus sign to the expression, making it y = -
`√(x)`, as shown with "2" (Reverse original by adding a minus).

We can shift the line along the x axis by adding a -3 as shown in "3." (Move #2 by subtracting 3).

Summarizing, we took the original function, f(x), and reversed it with a minus to -f(x) and then subtracted 3, which would bring us to -f(x) - 3, which matches answer option C: -f(x) - 3