SOLUTION: How can I write x2-4x-5 in the form y=a(x-p)2+q

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Question 1083396: How can I write x2-4x-5 in the form y=a(x-p)2+q
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
The vertex x value is at -b/2a=-(-4)/2=2; when x=2, y=4-8-5=-9. Therefore in vertex form it is (x-2)^2-9, taking the opposite sign for x and the value for y.
Check this
x^2-4x+4-9=x^2-4x-5.
The purpose of vertex form is to allow one immediately to see the vertex coordinates.

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

in the form
first complete square:



-> where , , and

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