13-1 Graphing Quadratic Functions – We learned that the axis of symmetry is helpful for determining which elements of the domain to choose when graphing a function. Then we learned that the maximum or minimum value of a quadratic function is always the y-coordinate of the point of intersection of the graph of the function and its axis of symmetry.
We reviewed Lesson 8.2 Product of Powers and 8.3 Quotient of Powers. We learned that when you divide powers with the same base you subtract them. Then we practiced simplifying expressions and then dividing these expressions. Next we learned that when there’s an x in an exponent you can subtract the exponents and set them equal to the exponent on the other side of the equation to solve for x. Then we completed all of the assigned homework.
8-5 Linear, Exponential, and Quadratic Models – Linear, quadratic, and exponential functions are differentiated by their average rates of change over different intervals. A linear function models a relationship between x and y in which the differences between successive y-values are constant. A quadratic function models a relationship in which the second differences, or the difference between the first differences, are constant. An exponential function models a relationship where the ratios of consecutive y-values are constant.