Also: Study interval notation Notes 5.3: Quadratic Equation Forms Parent Function Standard Form Vertex Form Last lesson we studied Quadratics using the Parent Function and Vertex form (shifts). Today we will focus on the Standard form! Also: Study interval notation

Standard form: y = ax2 + bx + c L I P V O C A B Standard form: y = ax2 + bx + c If “a” is positive, the x parabola opens _______ If “a” is negative, the parabola opens _______ y intercept: where the parabola crosses the y axis. To find it from the equation, substitute ___ for ___ and solve for _____ The vertex is the __________ point of the parabola. To find the x-coordinate: To find the y-coordinate: S/R/Z refers to : ____________________, _________, __________ These are the x-intercepts, so where y = _______. The Axis of symmetry is a fold line and has an equation: Domain: Possible __ values Range: Possible __ values

Examples Ways to write domain and range Interval Notation Inequalities The domain is greater than -3 and less than or equal to 4 The domain is greater than 7 The range is less than or equal to 4 The range is all real numbers The domain is greater than -3 and less than or equal to 4 The domain is greater than 7 The range is less than or equal to 4 The range is all real numbers