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Ch 2: Transformations of Parent Graphs

Click here for Parent Guide with Extra Practice for Chapter 2 - Transformations of Parent Graphs from CPM


Chapter

 Objective

Students will be able to…

Standard(s)

Help/Examples

Practice

2.1.1

Fit an equation to non-linear data and use it to make predictions

A-CED.2

 

 

2.1.2

Determine the transformations of the parent function  y = x^2 when written in graphing (vertex) form

F-BF.3

 

 

2.1.3

Graph quadratic function by transforming the parent function y = x^2

F-BF.3

Vertically translate quadratic equations(Enter quick code: LZ3980 into search bar)

Horizontally translate quadratic equations(Enter quick code: LZ3981 into search bar)

Understand vertical scaling of quadratic equations (graphing pattern)(Enter quick code: LZ3982 into search bar)

Understand horizontal scaling of quadratic equations(Enter quick code: LZ3983 into search bar)

Translate quadratic functions

Using Transformations to Graph Quadratic Functions


Graphing parabolas in vertex form

2.1.3

2.1.4

Complete the square to rewrite quadratic equations from standard form into graphing (vertex) form

F-IF.8a

Complete the square with a model(Enter quick code: LZ3169 into search bar)


Comparing modeling and symbolic methods of completing the square (generic square)(Enter quick code: LZ3191 into search bar)

Complete the square (generic square)(Enter quick code: LZ3240 into search bar)

Complete the square when a>1(Enter quick code: LZ3348 into search bar)



Convert equations of parabolas from standard form to vertex form


Graphing parabolas in all forms

2.1.5

Find the value of the stretch factor, a

F-BF.3

A-CED.2

 

 

2.1.5

Write quadratic equations for situations using the graphing form of the parabola y = a(x  h)2 + k

F-BF.3

A-CED.2

Find the Equation of a Quadratic Function from a Graph

 

2.2.1

Transform the graphs of y = b^x, y =(1/x), y = sq.rt.(x), y = |x|, and y = x^3

F-BF.3

F-IF.7b

F-IF.7e

 

Graph square root functions using transformations (Enter quick code: LZ3190 into search bar)

Graph cube root functions (Enter quick code: LZ3115 into search bar)

Graph Absolute Value Functions (
Enter quick code: LZ3283 into search bar)

Translations of functions

Transformations of functions

Function Transformation Rules

Describe function transformations

2.2.2

Identify the point (h, k) for graphs of parabolic, hyperbolic, cubic, absolute value, exponential, and square root functions

F-BF.3

F-IF.7b

F-IF.7e

Function Transformations

 

2.2.3

Define even and odd functions

F-IF.9

Recognizing Even and Odd Functions

Connection between even and odd numbers and functions


 Even and Odd Functions

2.2.4

Transform non-functions (specifically a circle)

F-IF.3

F-IF.9

Radius and Center of a Circle in Standard form 

Equation of a circle in factored form


Graphing circles

2.2.5

Use transformations to relocate and reorient a piecewise-defined function

F-IF.7b

F-BF.3

Graph piecewise-defined functions(Enter quick code: LZ3241 into search bar)


Graphs of piecewise linear functions

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