How do you convert a quadratic function from standard form to vertex form?
I know how to convert from vertex to standard, but I dunno how to do standard to vertex…?
Help? : ) Google isn’t being very friendly.
Okay, here’s a specific sample:
y = x² – 6x + 11
Question Number 1 :
For this equation x^2 – 6*x + 11 = 0 , answer the following questions :
A. Use completing the square to find the root of the equation !
Answer Number 1 :
The equation x^2 – 6*x + 11 = 0 is already in a*x^2+b*x+c=0 form.
As the value is already arranged in a*x^2+b*x+c=0 form, we get the value of a = 1, b = -6, c = 11.
1A. Use completing the square to find the root of the equation !
x^2 – 6*x + 11 = 0 ,divide both side with 1
So we get x^2 – 6*x + 11 = 0 ,
Which means that the coefficient of x is -6
We have to use the fact that ( x + q )^2 = x^2 + 2*q*x + q^2 , and assume that q = -6/2 = -3
Next, we have to separate the constant to form x^2 – 6*x + 9 + 2 = 0
So we will get ( x – 3 )^2 + 2 = 0 -> this is the vertex form
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