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algebra ch, 6
Quadratic Functions
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 |
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. |
What graph is the equation y=ax^2+bx+c congruent to? | y-ax^2 |
What is the quadratic formula? | x equals negative b plus or minus the square root of b squared minus 4ac all over 2a |
What is vertex form? | y-k=a(x-h)^2 |
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 |
What does i (imaginary number) equal? | i squared equals negative one and the square root of i equals negative one |