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Chapter 6
Quadratic Functions
| Question | Answer |
|---|---|
| quadratic expression, equation, function, & standard form | expression: ax^2+bx+c equation: ax^2+bx+c=0 function: f:x->ax^n+bx+c |
| Expanding (x+7)^2 | (x+7)(x+7) =(x+7)x + (x+7)7 =x^2 + 7x +7x +49 =x^2 +14x+ 49 |
| Bionomial Square theorem | (x+y)^2=x^2+2xy (x-y)^2=x^2-2xy+y^2 |
| Absolute Value-square root theorem | For all real numbers x, square root of x^2= [x] |
| Vertex form of an equation for a parabola | y-k=a(x-h)^2 |
| Perfect-sqaure trinomial | x^2+2hx+h^2 |
| Quadratic Formula | x=-b plus or minus the square root of b^2-4ac _____________________________________________ 2a |