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:
y + 4 = (-1/6)(x - 6)
Step-by-step explanation:
Apply the point-slope formula here: y - k = m(x - h) becomes
y + 4 = (-1/6)(x - 6)
Answer:
5 1/3 hours.
Step-by-step explanation:
Ashley prepares 1 bag in 2/3 minutes.
One friend takes 2/3 + 3/4 * 2/3 = 7/6 minutes to make 1 bag.
4 of her friends can make 1 bag in 7/6 * 1/4 = 7/24 minutes.
If it takes x minutes for Ashley and 4 friends to make one bag then we have:
1 / 2/3 + 1 / 7/24 = 1 / x
3/2 + 24/7 = 1/x
Multiply through by 14x:
21x + 48x = 14
x = 14/69 minutes.
So the time to make 1575 bags = 1575 * 14/69
= 320 minutes.