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The process of completing the square is done for f(x) = x^2 +10x + 21 to be changed into a vertex form..which step shows Three steps toward this process? why did you pick your answer ?

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Answer:

And for this case we can begin completing the square like this:


f(x) = x^2 +10x + (10/2)^2 +21 -(10/2)^2

And after aggrupate the terms we got:


f(x) = (x+5)^2 +21 -25

And finally we have:


f(X)= (x+5)^2 -4

And for this case our vertex would be:


(h,k) = (-5,-4)

Explanation:

For this case we have the following equation given:


f(x) = x^2 +10x +21

And we want to find a formula in terms in the vertex form given by:


f(x) = a(x-h)^2 +k

And for this case we can begin completing the square like this:


f(x) = x^2 +10x + (10/2)^2 +21 -(10/2)^2

And after aggrupate the terms we got:


f(x) = (x+5)^2 +21 -25

And finally we have:


f(X)= (x+5)^2 -4

And for this case our vertex would be:


(h,k) = (-5,-4)

User Neomega
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