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Chapter 6
Quadratic Functions
Question | Answer |
---|---|
Quadratic Expression, Standard Form of a Quadratic | ax^2+bx+c |
Binomial Square Theorem | (x+y)^2=x^2+2xy+y^2 (x-y)^2=x^2-2xy+y^2 |
Absolute Value | the distance of the number from 0 |
Absolute Value of Square Roots | square root of x^2 = absolute value of x |
Irrational Number | can't be written as a simple fraction |
Corollary | the image of y=ax^2 under the translation T h,k has the equation y-k=a(x-h)^2 |
Newton's Formula | h=-1/2gt^2=v(0)t+h(0) |
Perfect Square Trinomial | x^2+2hx+h^2 |
Theorem | to complete the square x^2+bx add (1/2b)^2 |
Quadratic Formula | x= -b plus or minus the square root of b squared minus 4ac all over 2a |
Imaginary Numbers | square roots of negatives 'i' |
i | = square root of -1 |
Complex Number | a real number an imaginary number are added a+bi |
Discriminant | b^2-4ac |
Two Real Solutions | discriminant is greater than 0 |
One Real Solution | discriminant =0 |
Two Complex Conjugate Solutions | discriminant is less than 0 |