2. Solving Quadratic Equations by Graphing

3.  Quadratic Equation- A quadratic function set equal to a value, in the form ax 2 +bx+c, where a≠0  Standard Form- A quadratic equation written in the form ax 2 +bx+c, where a,b, and c are integers, and a≠0  Root- The solutions of a quadratic equation  Zero- The x-intercepts of the graph of a quadratic equation, the points for which f(x)=0

4.  Find the axis of symmetry  Find the ordered pair at the vertex  Make a table of values with the vertex in the middle  Plot the points from the table

5.  Real solutions are the points on the graph where it crosses the x-axis.  Y-value should always be 0  Solutions are in terms of x values

6.  After you have graphed the equation, if the parabola crosses the x-axis twice, you have two real solutions.

7.  After you have graphed the equation, if the parabola touches the x-axis, but does not cross it, then you have one real solution.

8.  After you have graphed the equation, if the parabola does not cross or touch the x-axis, then you have no real solutions.

9.  Turn Calculator on  Press y= button  Enter equation  Press GRAPH button  Press 2 nd button, then press TRACE button  Select option 2:zero  Select point on graph left of zero  Select point on graph right of zero  Press enter  Repeat steps 5-9 as needed

12.  (x+2)(x-5)  (x-1)(x+3)  (x-2)(x-3)  (x+1)(x+4)

13.  Use a quadratic equation to find two real numbers that satisfy each situation, or show that no such numbers exist.  Sum is 5, product is -14  Sum is -8, product is 12  Sum is 4, product is 4

14.  Worksheet 5-2