To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Vertical compression
Answer:
$73.89
Step-by-step explanation:
We have been given that Kathy Parker's employer pays 65% of the total cost of her $5,489 health insurance premium.
This means Kathy pays 35% of her health insurance premium.
Let us find 35% of $5489.
As we are asked to find Cathy's biweekly deduction for the insurance we will divide amount of premium paid by Cathy by 26 as biweekly is paid 26 times per year.
Therefore, Cathy's biweekly deduction for the insurance is $73.89.
Answer:
A. f(x) = 9sin(x/3) + 6
Step-by-step explanation:
First, we can eliminate B and C because they have the wrong vertical shift.
Since the y intercept is 6, this means the function has a vertical shift up 6 units, represented by a +6 at the end of the equation.
The amplitude is 9, found by calculating the difference between the minimum and maximum values, and dividing it by 2.
(15 - (-3)) / 2
18 / 2
= 9
Using a calculator, find the period given the frequency.
The period (coefficient of x) is 1/3.
So, putting all of these constants together, the correct equation is:
A. f(x) = 9sin(x/3) + 6
If 
, then by definition of absolute value
On the other hand, if 
, then
So, the overall solution to the inequality is interval union
