Graphing & Writing Equations of Quadratic Functions

Last updated about 4 hours ago

7 questions

Instructions

Investigating Quadratic Function Equations

Required

F.BF.3

MP.7

Required

F.BF.3

MP.7

Required

F.BF.3

MP.7

Writing Quadratic Function Equations

Required

F.BF.3

MP.7

Required

F.BF.3

MP.7

Required

Graphing & Writing Equations of Quadratic Functions

Last updated about 4 hours ago

7 questions

Instructions

Complete the first three problems first.  You will take some class notes, and then return to problems 4 and 5 to check your understanding before participating in an appointment book activity.

Investigating Quadratic Function Equations

Team Investigation:  The Quadratic Function Family

In the equation below, x represents the input.  The letters, a, h, and k are parameters.  In this investigation, you and your teammates will determine how each parameter affects the parent graph of the function

Use the Desmos graphing calculator to determine how each parameter affects the parent graph of the quadratic function y = x2.  

You MUST agree with your team on how to answer each question.  

Required

Parameter k  

When we move the slider for parameter k, the graph shifts __________ .
When the value of k is positive, the graph shifts __________.
When the value of k is negative, the graph shifts __________.

F.BF.3

MP.7

Required

Parameter h 

When we move the slider for parameter h, the graph __________ .
When the value of h is positive, the graph __________.
When the value of h is negative, the graph __________.

F.BF.3

MP.7

Required

Parameter a 

When we move the slider for parameter a, the graph __________ .
When the value of a is greater than 1, the graph __________.
When the value of a is between 0 and 1, the graph __________.
When the value of a is negative, the graph __________.

F.BF.3

MP.7

Great job!  Be ready to take some notes before attempting the next two problems.

Writing Quadratic Function Equations

With a partner, determine the values of the parameters for each graph below.  

Show your work for calculating the value of parameter a for each graph in the spaces provided in your class notes.

GRAPH A

GRAPH B

Required

The values for the parameters in the function for GRAPH A are:

parameter k = _______
parameter h = _______ 
parameter a = _______ 

F.BF.3

MP.7

Required

The values for the parameters in the function for GRAPH B are:

parameter k = _______
parameter h = _______ 
parameter a = _______ 

F.BF.3

MP.7

Required

Complete the sentence frame:

In your own words, describe how each parameter a, h, and k affect the quadratic function parent graph.

Required

Graphing & Writing Equations of Quadratic Functions

Graphing & Writing Equations of Quadratic Functions

Complete the sentence frame:

In your own words, describe how each parameter a, h, and k affect the quadratic function parent graph.

Finish the sentences below:

"Today, I learned..."

"I am still a bit confused about..."

Complete the sentence frame:

In your own words, describe how each parameter a, h, and k affect the quadratic function parent graph.

Finish the sentences below:

"Today, I learned..."

"I am still a bit confused about..."

Graphing & Writing Equations of Quadratic Functions

Graphing & Writing Equations of Quadratic Functions

Complete the sentence frame:In your own words, describe how each parameter a, h, and k affect the quadratic function parent graph.

Finish the sentences below:"Today, I learned...""I am still a bit confused about..."

Complete the sentence frame:In your own words, describe how each parameter a, h, and k affect the quadratic function parent graph.

Finish the sentences below:"Today, I learned...""I am still a bit confused about..."

Complete the sentence frame:

In your own words, describe how each parameter a, h, and k affect the quadratic function parent graph.

Finish the sentences below:

"Today, I learned..."

"I am still a bit confused about..."

Complete the sentence frame:

In your own words, describe how each parameter a, h, and k affect the quadratic function parent graph.

Finish the sentences below:

"Today, I learned..."

"I am still a bit confused about..."