If you shift the quadratic parent function, f(x)=x2 , right 10 units, what is the equation of the new function?
1 answer:
Answer:
Step-by-step explanation:
The standard form of a quadratic is
where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:
and simplified:
That is the parent graph shifted 10 units to the right.
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<h2>See the explanation.</h2>Step-by-step explanation:
(a)
There were total 5 men wearing coats.
5 coats can be returned to 5 men in 5! = 120 ways.
The coats can be returned to the accurate persons only in 1 way.
Hence, the probability that each man gets the correct coat is .
(b)
At the time of returning the first coat, the hostess will have 5 choices and for the second she will have 4 choices.
Hence, in ways the hostess can return the 2 coats.
There is only 1 possible case that each of the coats will return to the correct owner.
Hence, the required probability is .