4.3 Modeling With Quadratic Functions

Presentation

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Mathematics

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9th - 12th Grade

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Practice Problem

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Easy

Heather Taylor

Used 10+ times

FREE Resource

9 Slides • 3 Questions

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

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.

Type response here

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

4.3 Modeling With Quadratic Functions

by Ms. Taylor

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