2-7: parent functions monday, september 15 algebra ii

2-7: Parent Functions

Monday, September 15Algebra II

Name That Functionx -3 -2 -1 0 1 2 3

y 4 4 4 4 4 4 4

Name That Functionx -3 -2 -1 0 1 2 3

y -3 -2 -1 0 1 2 3

Name That Functionx -3 -2 -1 0 1 2 3

y 9 4 1 0 1 4 9

Name That Functionx -3 -2 -1 0 1 2 3

y 3 2 1 0 1 2 3

2-7: Parent Functions and Transformations

Tuesday, September 16Algebra II

Translating, Reflecting, & Dilating

𝑦=𝑥2 𝑦=(𝑥+2)2

Translating, Reflecting, & Dilating

𝑦=|𝑥| 𝑦=−|𝑥|

Translating, Reflecting, & Dilating

𝑦=𝑥2 𝑦=2 𝑥2

2-8: Graphing Linear & Absolute Value Inequalities

Wednesday, September 17Algebra II

How Does an Inequality Change the Graph?

𝑦>3 𝑥+2

How Does an Inequality Change the Graph?

𝑦 ≤|𝑥|−3

Review: Trashketball

Thursday, September 18Algebra II

What is the NAME and GENERAL EQUATION for the parent function below?

For the equation below: 1) Name the Parent Function

2) Describe the transformation(s)

𝑦=(𝑥+4)2−7

SOLVE and GRAPH the linear inequality below.

𝑦−8≤𝑥−2

Write an equation based on the following parent function and transformations.

Parent Function:

Transformations:translation down 2 unitsreflection over the x-axishorizontal stretch by a factor of 3

Write an equation for the linear inequality below.

What is the NAME and GENERAL EQUATION for the parent function below?

SOLVE and GRAPH the linear inequality below.

𝑦+2>𝑥+6

For the equation below: 1) Name the Parent Function

2) Describe the transformation(s)

3

Write an equation based on the following parent function and transformations.

Parent Function:

Transformations:translation left 4 unitsreflection over the y-axisvertical shrink by a factor of

Write an equation for the absolute inequality below.

For the equation below: 1) Name the Parent Function

2) Describe the transformation(s)

𝑦=|𝑥+1|−3

SOLVE and GRAPH the absolute value inequality below.

𝑦+3≥|𝑥−4|+5

What is the NAME and GENERAL EQUATION for the parent function below?

Write an equation based on the following parent function and transformations.

Parent Function:

Transformations:translation right 8 unitsreflection over the x-axisvertical shrink by a factor of

For the equation below: 1) Name the Parent Function

2) Describe the transformation(s)

6

Write an equation for the linear inequality below.

What is the NAME and GENERAL EQUATION for the parent function below?

Write an equation for the absolute value inequality below.

SOLVE and GRAPH the absolute value inequality below.

𝑦−5<|𝑥+1|−2

Write an equation based on the following parent function and transformations.

Parent Function:

Transformations:translation up 8 unitstranslation left 2 unitshorizontal stretch by a factor of 3

Quiz: Sections 2-7 & 2-8

Friday, September 19Algebra II