3 – Quadratics: Key Characteristics in Context

Desmos.com – Use technology to graph quadratic functions and identify their key characteristics

F.IF.4 – For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing or decreasing across the domain, extrema (maximums and minimums), & symmetries.
F.IF.5 – Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
F.IF.6 – Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph

A.SSE.2 – Use the structure of an expression to identify ways to rewrite it.

3.4 – Graphing Quadratics by Hand & Transformations from the Parent Function

F.BF.3 – Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.
F.IF.7a – Graph quadratic functions and show intercepts, maxima, and minima.