Solving Quadratic Equations Graphically Math 2 Spring 2016 Mrs. Brown

The solutions of a quadratic function are called ___________, _____________ or ____________. They occur when the graph ___________________________. zeros rootsX-intercepts crosses the x-axis A quadratic function can have one solution, two solutions or no solutions.

Let’s Practice: Remember, you should name the solutions as points in the form (x, y) For each example, state how many solutions there are. If there are solutions, name them.

Standard Form and Vertex Form:

Graph of a Quadratic Equation The graph of a quadratic equation is called a _____________________. parabola downnegative up positive

Axis of Symmetry The axis of symmetry always goes through the ________. The axis of symmetry gives us the ________________ of the vertex. vertex X-coordinate Use this formula to find the axis of symmetry from the standard form of the equation

Vertex quadratic-equations jpg?cb= The vertex is _________________________________________________ the point where the parabola changes direction When the vertex is _______________ it is called a ____________ The lowest point The highest point maximum minimum

Example 1: Find the axis of symmetry, the vertex and state if the vertex is a maximum or a minimum. Sketch the graph. y= x 2 + 8x

Example 2: Find the axis of symmetry, the vertex and state if the vertex is a maximum or a minimum. Sketch the graph. y= -x 2 + 5x – 6

Classwork: Complete the Unit 5 Lesson 4 Worksheet Finish it for homework if needed