INTERCEPTS & SYMMETRY 2/22/2016 3:06:57 AM 2-2: Graphs of Equations 1 X- & Y-Intercepts 2/22/2016 3:06:57 AM2-2: Graphs of Equations 2 Where are x-intercepts for a graph? Where are y-intercepts for a graph? WHERE IT CROSSES THE X-AXIS WHERE IT CROSSES THE Y-AXIS What is the value of y when looking for an x-intercept? What is the value of x when looking for a y-intercept? y = 0 x = 0 Finding Intercepts: 2/22/2016 3:06:57 AM2-2: Graphs of Equations 3 Steps 1. To find x-intercepts, plug in zero for y; solve for x. Write as a coordinate point. 2. To find y-intercepts, plug in zero for x; solve for y. Write as a coordinate point. Example 1 2/22/2016 3:06:57 AM2-2: Graphs of Equations 4 Find x- and y-intercept: 3x + 4y = 12 X-intercept:Y-intercept: Example 2 2/22/2016 3:06:57 AM2-2: Graphs of Equations 5 6x 2y = 12 and find x- and y-intercept Your Turn 2/22/2016 3:06:57 AM2-2: Graphs of Equations 6 -4x + y = 10 and find x- and y- intercept Example 3 2/22/2016 3:06:57 AM2-2: Graphs of Equations 7 Find the x and y-intercepts: X-intercept: Y-intercept: Your Turn 2/22/2016 3:06:57 AM2-2: Graphs of Equations 8 Find the x and y-intercepts: Example 4 Find the x and y-intercepts: X-Intercept: none Y-Intercept: There is not an x to plug zero into. So when x=0, y is still equal to 4. Example 5 Find the x and y-intercepts: X-Intercept: none Y-Intercept: There is not a y to plug zero into. So when y=0, x is still equal to 7. Definitions 2/22/2016 3:06:57 AM2-2: Graphs of Equations 11 Symmetry is well-defined concept of balance Origin is where the x and y-axis meet (Point (0,0)) Intercepts is where the graph crosses the axis LABEL in coordinate point Symmetry 2/22/2016 3:06:57 AM2-2: Graphs of Equations 12 originx - axis all y - axis none Example 1 2/22/2016 3:06:57 AM2-2: Graphs of Equations 13 List the intercept(s) that cross the x-axis: Example 1 2/22/2016 3:06:57 AM2-2: Graphs of Equations 14 List the intercept(s) that cross the y-axis: Is it symmetric to: the x-axis, y- axis, and/or origin? Example 1 2/22/2016 3:06:57 AM2-2: Graphs of Equations 15 List the intercept(s) that cross the x-axis: Example 2 2/22/2016 3:06:57 AM2-2: Graphs of Equations 16 List the intercept(s) that cross the y-axis: Example 2 2/22/2016 3:06:57 AM2-2: Graphs of Equations 17 What is it symmetric to: the x-axis, y-axis, and/or origin? Example 2 2/22/2016 3:06:57 AM2-2: Graphs of Equations 18 What are its intercepts and is it symmetric to the x-axis, y-axis, and/or origin? Your Turn 2/22/2016 3:06:57 AM2-2: Graphs of Equations 19 ASSIGNMENT 2/22/2016 3:06:57 AM2-2: Graphs of Equations 20 Worksheet: Due Block Day