AET 364 Study Guide - Final Guide: Completing The Square, Quadratic Equation

• School: University of Hartford
• Department: Architectural Engineering Technology
• Course: AET 364

Document Summary

Subject: algebra (mathematics ii) teacher: amrita shahab & sarwat sultana date: ___________________ The graph of quadratic equation or function is a curved line called parabola which is a u-shaped figure having an open end. The general formula of quadratic function is y = ax2 + bx + c, where a 0. The value of a determines the shape of the curve. That is, whether the parabola will open upward (happy face ) or downward (sad face ). Three forms of quadratic function: standard/expanded form, y = ax2 + bx + c, intercept/factored form, y = (x h)(x k) [example: y = x2 + 10x 4] [example: y = (x 1) (x 5): vertex form: y = (x p)2 + q. [example: y = (x 5)2 + 21] Important points to remember: the graph of a quadratic function/equation has four special points. Two x - intercepts, when y = 0. i. e. two points (x1, 0) & (x2, 0) on x axis.