How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?
2 answers:
<h2>8 unit tiles should be added</h2>
Step-by-step explanation:
Function given is . We wish to add more unit tiles to the function so that it becomes a complete square.
Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression to be the side of the square.
As the function forms the square after adding some unit tiles,
From comparision,
∴ 8 more unit tiles are required to complete the square.
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Answer:
Exterme Value: .
The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.
Step-by-step explanation:
The given function is .
We add and subtract the square of half the coefficient of x.
.
The first three terms form a perfect quadratic trinomial.
.
This function is now written in the form , where (h,k) is the extreme value(vertex).
The extreme value or the vertex is .
Interpretation:
The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.