Advanced Algebra Notes Section 4.2: Graphing Quadratic Functions

Advanced Algebra Notes Section 4.2: Graphing Quadratic Functions A __________________ in vertex form is written . The graph of a quadratic function is U-shaped and is called a __________. quadratic function Example: Graph (Base Parabola) parabola Parent Function vertex The lowest or highest point on the parabola is called the ________. (Where the U-shape starts) The vertical line that passes through the vertex is called the ________________. line of symmetry

Graph of a Quadratic Function The graph of a Quadratic Function ( ) has the following characteristics: ** The parabola opens up if ____________ and opens down if ______________. ** The parabola is wider (fatter) than the graph of if __________ , narrower if __________, and base shape if ________. ** The vertex is equal _______ . ** The axis of symmetry is the vertical line _______. a is positive a is negative |a| < 1 |a| > 1 |a| = 1 (h, k) x = h Examples: Graph the following quadratic functions. 1. a = -1, down, base shape V(-5, 2) L.O.S. : x = -5

2. a = 2, up, narrower V(1, 3) L. O. S. : x = 1 3.

If the graph of a quadratic function has at least one x-intercept, then the function can be represented in ________________, y = a(x – p)(x – q). intercept form p & q are the x-intercepts 4. Graph: y = -x(x – 4) a = -1 , down X-intercepts : (0,0) , (4, 0) V(2, 4) L.O.S. : x = 2

Please be kind and add this problem to your notes Write y = -2(x – 3)2 + 5 in standard form.

Advanced Algebra Notes Section 4.2: Graphing Quadratic Functions