8-3 Quadratic Functions in Standard Form – We learned to graph functions in standard form and show intercepts, maxima, and minima. Then we learned to determine how the values of A, B, and C affect the graph of f(x) = ax2 + bx + c. Next we compared the properties of quadratic functions presented in different forms (algebraically, in a table, graphically).
Assignment: Complete the assigned problems for homework.
We practiced plotting ordered pairs in a Cartesian system and connecting them to identify the type of reflection between two functions. When we located each ordered pair we connected it to the previous ordered pair with a line segment to form a picture. Next we drew our own picture and created a set of ordered pairs to define our picture. We gave each other our set of ordered pairs to draw the picture we had created from them.
We learned that in the Cartesian system, a plane is divided into four regions by the X and Y axes. These four regions are known as quadrants. Each quadrant has ordered pairs of x and y coordinates (x, y). We completed homework requiring plotting and naming points in quadrants. Then we identified quadrants based on inequalities. We completed the homework in class.
8-2 Quadratic Functions in Vertex Form – We practiced solving word problems involving quadratic functions. Then we practiced finding features of the graph of quadratic functions written in vertex form and how they relate to real-world problems.