|"Why = a(x - h)² + k?" -- EVERYTHING YOU EVER WANTED TO KNOW ABOUT A QUADRATIC BUT WERE AFRAID TO ASK|
|The Quadratic, y = ax2 + bx + c |
|Quadratic?||Quadratic: x2, or 2x2 or -3x2 or ax2.|
|Quadratic:||NOT constant (2, -3, a).|
|Quadratic:||NOT linear (2x or -3x or ax).|
|Quadratic:||NOT cubic (2x3 or -3x3 or ax3).|
|Quadratic:||NOT quartic (-3x4), or higher.|
Quadratics are polynomials where the highest degree of the variable is 2. Quadratics are polynomials like ax2 + bx + c or a(x - h)2 + k or 2x2 -3x + 5 or 4x2 - 1 or -3x2 + 2x -6.
|Uses of Quadratics |
|THE Quadratic Equation VS. A Quadratic Equation |
The equation ax2 + bx + c = 0 is the quadratic equation and its solution is . See page The Quadratic Equation, Formula, & Discriminant.
The equation y = ax2 + bx + c is a quadratic equation because its highest degree is 2.
It's an equation where a, the coefficient of the quadratic or x2 term, does not equal zero. If a were 0, there would be no quadratic term.
It's an equation or statement in which y is expressed in terms of a, b, c, and x. Because it's a quadratic, the graph of the curve is a parabola, a quadratic function.
Quadratic functions are the second simplest of the polynomial functions.
In general polynomials look like
y = anxn + an-1xn-1 + an-2xn-2 + ... +a2x2 + a1x1 + a0x0.
These equations are quadratic: y = ax2 + bx + c or y = a(x - h)2 + k.
Related Pages & Resources |