Step-by-step explanation:
In the attached images we can see the rigid transformation of the function 
1. The basic graph
2. The reflected graph 
3. The displaced graph 
Reflection: In the expression , the sign - before the parenthesis indicates that the function is reflected in the x axis, for this case the function is even, this means that -f(x) = f(-x)
, then the reflection on the x axis is equal to the reflection on the y axis.
Displacement: We observe the term (x-4) of the function and analyze the value -4, where, the sign - indicates displacement to the right and the value 4 indicates the amount that the graph shifted
.
Answer:
There would be $2,120
Step-by-step explanation:
First figure out what 3% of 2000 is which is 60. Multiply the 60 by 2 to get 120 then add 120 to 2000
To answer this we will add, but before we add we will change 4/5 in to a decimal. to change ANY fraction into a decimal we have to divide the numerator by the denominator. lets do it:-
4/5
4 ÷ 5 = 0.8
Now lets substitute 0.8 for 4/5 and then add.
4/5 + 0.05
0.8 + 0.05 = 0.85
CHECK OUR WORK:-
0.85 - 0.8 = 0.05
We were RIGHT!!
So, the decimal 0.85 is equivalent to 4/5 + 0.05.
Hope I helped ya!! xD
128 pencils divided by 6 pencils that can be put in a box; 128÷6=21 with a remainder of 3
Martin needs 3 more pencils for the last box, beacuse he has 3 leftovers and 6 can go into the box. 6-3=3
sub x=1 into f(x),
remainder= 1^3+2(1)^2-5(1)-6= -8
since remainder≠0, x=1 is not a root of the function
sub x=-1,
remainder = (-1)^3+2(-1)^2-5(-1)-6= 0
by remainder theorem,
x=-1 is a root of f(x)
hence, the correct ans is c
