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
.
D' = (-2, 0) = 2*(-1, 0) = 2*D
The scale factor is 2.
Emily’s weekly allowance would be $7.
I believe 1/3 since there is three of them.
But don't take my full word for it.
Answer: New function is 
Step-by-step explanation:
- A dilation is a transformation that creates an image using a scale factor that has the exactly same shape as the original, but have a different size.
The given function : 
We know that any function y= f(x) will become y=k f(x) after dilation of k units on the x, where k= scale factor for dilation.
Here, the given scale factor = 2 i.e. k=2
Then, the new function will be :
Hence, the new function is
