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Quadratic Functions

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
What is the binomial square theorem?   For all real numbers x and y (x+y)^2=x^2=2xy=y^2 (x-y)^2=x^2-2xy+y^2  
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How do you find the corollary?   The image of the parabola y=ax^2 under the translation T h,k is the parabola with the equation y-k=a(x-h)^2.  
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What graph is the equation y=ax^2+bx+c congruent to?   y-ax^2  
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What is the quadratic formula?   x equals negative b plus or minus the square root of b squared minus 4ac all over 2a  
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What is vertex form?   y-k=a(x-h)^2  
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How do you figure out real solutions?   1. 2 real solutions if b^2-4ac>0 2. 1 real solutions if b^2-4ac=0 3. two complex conjugate solutions if b^2-4ac<0  
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What does i (imaginary number) equal?   i squared equals negative one and the square root of i equals negative one  
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