We have been given a parent function 
and we need to transform this function into 
.
We will be required to use three transformations to obtain the required function from .
First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to 
.
Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes 
.
Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as .
<u>Answer:</u>
Standard form of a line passing through (-2, 4) and having slope of -1/7 is x + 7y = 26
<u>Solution:</u>
Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7
Standard form of line passing through point ( a , b ) and having slope m is given by
(y – b) = m ( x – a) --------(1)
In our case given point is ( -2 , 4 ) and slope is -1/7 that means
a = -2 , b = 4 , m = -(1/7)
On substituting given value of a , b and m is equation (1) we get
=> 7( y - 4 ) = -x – 2
=> 7y + x = -2 + 28
=> x + 7y = 26
Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26
Answer:
You can have it as a decimal (0.6 repeatings), or you can have it as a fraction. It would be easier to keep it as a fraction.
The answer is Letter B - $4,280.00.
Total the amount they could incur because of health issues in a year then deduct it from 12,500.
= 685 x 12 months
= 8,220; they incur $8,220 for their health related issues in a year
= 12,500 - 8,220
= 4,280; amount they need to pay before the insurance company assumes responsibility.
