The parent function is:
The transformed function is:
Comparison of simplified transformed function with the parent function:
- The function multiplying by a number indicates dilation.
- The function is being compressed in vertical direction by a factor of 2 if the number lies between 0 and 1.
- Subtracting a number from x indicates a horizontal shift towards right.
- That is the parent function is transformed 5 units to right.
- Subtracting a number from the function indicates a downward shift.
- That is the parent function is transformed 3 units down.
Hence the graph of 
is the graph of 
stretched vertically, shifted right by 10 unit and shifted 3 unit down.
The image of the graph is attached below.
Answer: $57.6
Step-by-step explanation:
Given : A businesswoman sells a bag for $52.32.
Let cuurent selling price : SP = $52.32
As they are making 9% profit now.
That means SP= Cp +0.09 CP , where Cp is the cost price of bag.
i..e ![52.32=Cp(1+0.09) \ \text{[Substituted value of SP in LHS and taking Cp common outside in RHS]}](https://tex.z-dn.net/?f=52.32%3DCp%281%2B0.09%29%20%5C%20%5Ctext%7B%5BSubstituted%20value%20of%20SP%20in%20LHS%20and%20taking%20Cp%20common%20outside%20in%20RHS%5D%7D)
i..e Cost price of bag = 48
Selling price to gain 20% profit = Cp+0.20CP
= CP(1+0.20)
=48 (1.20)
= 57.6
Hence, the selling price the businesswoman should ask in order to make 20% profit = $57.6
Answer:
f(2) = -5
Step-by-step explanation:
A point (x, y) lying on a function represents output value (y-value) of the function for any input value (x-value).
In other words y = f(x) for any input value of 'x'.
From the graph attached,
For the input value x = 2,
Output value of the function is y = -5
Therefore, f(2) = -5 will be the answer.
