Answer:
a. Compressed f toward the x-axis, and then translated it left 4 units.
Step-by-step explanation:
General equation for this is:
y = a√(x - h) + k
- a is how much it's being compress or stretched
- h is how much it's shifted in the x-direction
- k is how much it's being shifted in the y-direction
We're given:
g(x) = 1/2√(x + 4)
g(x) = 1/2√(x - (-4))
My a-value is 1/2, so the original function f(x) is being compressed by 1/2 toward the x-axis.
My h value is -4 so it's being shifted by 4 units. It's shifted to the left because it's negative.
There is not k-value so nothing is shifted in the y-direction.
Find the y-intercept then graph it.
which is :-
y=-2/3x+7/3
We are looking for the graph of
. which is shown in the attached image.
I would use the equation
24 + 8x = 112
let x = the amount of CDs she bought.
Hope this helps!!
<h2>T
he car is about 6.6 years old.</h2>
Step-by-step explanation:
Given : An equation for the depreciation of a car is given by
, where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%.
To find : Approximately how old is the car?
Solution :
The value of a car is half what it originally cost i.e. 
The rate of depreciation is 10% i.e. r=10%=0.1
Substitute in the equation, 


Taking log both side,




Therefore, the car is about 6.6 years old.