4.3 Modeling With Quadratic Functions

4.3 Modeling With Quadratic Functions

by Ms. Taylor

​Standards

​F-IF.B.5Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. Also F-IF.B.4

​Objective:

​Model data with quadratic functions

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Determine whether a data set represents perfect quadratic data

​

​Problem 1:

​A parabola contains the points (0, 0), (-1, -2), and (1, 6). What is the equation of this parabola in standard form?

Multiple Choice

​1.What is the equation of a parabola containing the points (0, 0), (1, -2), and (-1, -4)?

• $$y=3x^2-x$$  

• $$y=-3x^2+x$$  

• $$y=-3x^2-x$$  

• $$y=3x^2+x$$  

​Problem 2:

Open Ended

2. a. Which rocket stayed in the air longer?

b. What is the reasonable domain and range for each quadratic model?

c. Reasoning Describe what the domains tell you about each of the models and why the domains for the models are different.

​Prroblem 3:

When more than three data points suggest a quadratic function, you can use the quadratic regression feature of a graphing calculator to find a quadratic model.​

Multiple Choice

3.The table shows a meteorologist’s predicted temperatures for a summer day in Denver, Colorado. What is a quadratic model for this data? Predict the high temperature for the day. At what time does the high temperature occur?

• High Temp 88.8

  Time 3pm

• High Temp 90

  Time 2pm

• High Temp 87.4

  Time 12pm

​Complete Assignment 4.3

​Ex Credit in Teams Lesson 4.3 Problems