Chapter

Objective
Students
will be able to…

Standard(s)

Help/Examples

Practice

2.1.1

Fit an equation to nonlinear data and use it to make predictions

ACED.2



2.1.2

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

FBF.3



2.1.3

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

FBF.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

FIF.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

FBF.3
ACED.2



2.1.5

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

FBF.3
ACED.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

FBF.3
FIF.7b
FIF.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

FBF.3
FIF.7b
FIF.7e

Function Transformations


2.2.3

Define even and odd functions

FIF.9

Recognizing Even and Odd Functions Connection between even and odd numbers and functions

Even and Odd Functions

2.2.4

Transform nonfunctions (specifically a circle)

FIF.3
FIF.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 piecewisedefined function

FIF.7b
FBF.3

Graph piecewisedefined functions(Enter quick code: LZ3241 into search bar)

Graphs of piecewise linear functions
