Answer:
Step-by-step explanation:
The given parabola has equation
We rewrite in standard form to obtain:
Split the middle terms to get:
Factor by grouping:
Distributive property because if you divide -5.2+(-8.4) by -1, you get -(5.2+8.4)
This is not a form of income it is known as federal tax refund.
What is federal tax refund ?
Tax refunds are issued to taxpayers who have overpaid their taxes, or whose employers have withheld too much from their paychecks.
Therefore, A federal tax refund is not entered on a federal tax return so it is not income. Tax refunds from state governments can be itemized deductions on your federal tax return in the year they are issued.
It must be noted that If you electronically file your tax return or if you file a paper return, your refund is generally issued within 21 days.
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Answer:
c(x)=(x+3)^2+5
Step-by-step explanation:
To complete the square, the same value needs to be added to both sides.
So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression
C(x) =x^2 +6x + 9 + 14
Since 9 was added to the right-hand side also add 9 to the left-hand side
C(x) +9= x^2 +6x + 9 + 14
Using a^2 + 2ab + b^2=(a+b)^2, factor the expression
C(x)+9= (x+3)^2 +14
Move constant to the right-hand side and change its sign
C(x)=(x+3)^2 +14 - 9
Subtract the numbers
C(x)= (x+3)^2 +5