9-1 Solving Quadratic Equations Using Graphs and Tables – We reviewed how to use a graph to identify the x-intercepts as solutions of a quadratic equation. If the graph of the function has no x-intercepts then the equation has no real solutions. If the graph touches the x-axis but does not cross it then there is only one x-intercept and one real solution. Next we practiced finding the vertex of the parabola by putting the equation in the form ax2 + bx + c and calculating the x-coordinate by the formula –b/2a and
we found the y-coordinate by using the formula –b/2a. Next we plugged the x-coordinate of the vertex into the original quadratic equation to find the y-coordinate of the vertex.
Assignment: Complete the assigned problems for homework.
9-2 Solving Quadratic Equations by Factoring – We learned that in the standard form of a quadratic equation the factors of the equation determine the solutions. Then we learned the Zero-Product Property and factoring to find the solutions of a quadratic equation. Next we learned to apply factoring to solve real-world problems. Then we used the zeros of a quadratic equation to sketch a graph. Next we learned to write the factored form of a quadratic function from the graph.
Assignment: Complete the assigned problems for homework.