Graphing Quadratic Functions Lesson 5-1 Part 1

MAIN IDEAS Graph Quadratic Functions by creating a table of values Determine y-intercept, axis of symmetry, and Vertex for a Quadratic Function

Graph a Quadratic Function by Making a Table of Values x x2 + 3x – 1 f(x) (x,y) -3 (-3)2 + 3(-3) – 1 f(-3) = -1 (-3,-1) -2 (-2)2 + 3(-2) – 1 f(-2) = -3 (-2,-3) -1 (-1)2 + 3(-1) – 1 f(-1) = -3 (-1,-3) (0)2 + 3(0) – 1 f(0) = -1 (0,-1) 1 (1)2 + 3(1) – 1 f(-3) = 3 (1,3) 1. Set up your columns including x-term, function, f(x), and (x,y) 2. Choose integer values for x 3. Evaluate the function for each value of x 4. Graph points on coordinate graph

You try! Graph f(x) = x2 – 4x – 8 by making a table of values. x (x,y) Graph f(x) = x2 – 4x – 8 by making a table of values.

Solution for f(x) = x2 – 4x – 8 (x,y) -2 (-2)2 – 4(-2) – 8 4 (-2,4) (0)2 – 4(0) – 8 -8 (0,-8) 2 (2)2 – 4(2) – 8 -12 (2,-12) (4)2 – 4(4) – 8 (4,-8) 6 (6)2 – 4(6) – 8 (6,4)