Heritage High School

Algebra 1 – Mr. Messier

Week 3: 4/20-4/27

Included in this packet: Notes

(These notes are to support your learning and for your reference. Notes will not be collected)

Intro to Vertex Form Notes Key Only (no template, just read through for an intro to the section)

Describing Transformations in Vertex Form Notes Template

Describing Transformations in Vertex Form Notes Key

Graphing Quadratics in Vertex Form Notes Template

Graphing Quadratics in Vertex Form Notes Key

You should treat these notes as if you were copying them down from the board – use the key to copy the notes onto your template (or if you don’t have a printer, you can just copy onto any paper that you have). While going through each problem, ask yourself if it makes sense or not, if you have questions, please view the lesson videos on my site, the tutorial videos in the Dynamic ebook on Clever or reach out to me!

Assignments to be submitted by 9:00 am on Tuesday, April 28:

Read p. 442-444 (hint: use the Dynamic e-book on Clever to see the video tutorials)

Complete Big Ideas – 8.4 - p. 446-447 #19-28, 30-32, 35-36

Little to No Technology Access- You may take a pic/scan your assignment and email it to your

Algebra 1 teacher – messierd@luhsd.net (this is preferred) or Packets will be accepted between 12-3pm on Tuesday at the main office. If you cannot do this then you

need to call the main admin office to make other arrangements.

Access to Technology- The preferred method to complete your homework is electronically

through Clever.

Name: Date: Period:

Notes: Graphing Quadratic Equations in

Vertex Form

𝑓(𝑥) = 𝑎(𝑥 − ℎ)2 + 𝑘

Steps to

Graph in

Vertex

Form

1.

2.

3.

EXAMPLES: Use the steps listed above to graph the quadratic.

1. 𝑓(𝑥) = (𝑥 − 1)2 + 2 Axis of Symmetry: __________

Vertex: __________

Domain: ______________

Range: ______________

x y

2. 𝑓(𝑥) = −2(𝑥 + 1)2 − 3 Axis of Symmetry: __________

Vertex: __________

x y

Domain: ______________

Range: ______________

You Try #1!! 𝑓(𝑥) = (𝑥 + 3)2 − 1

Axis of Symmetry: __________

x y

Vertex: __________

Domain: ______________

Range: ______________

You Try #2!! 𝑓(𝑥) = −(𝑥 − 3)2 − 4

Axis of Symmetry: __________

Vertex: __________

x y

Domain: ______________

Range: ______________

Name: Date: Period:

Notes: Describing Transformations of a

Quadratic in Vertex Form

𝑓(𝑥) = 𝑎(𝑥 − ℎ)2 + 𝑘

Tr

an

sfo

rm

atio

ns

𝑎 =

ℎ =

𝑘 =

EXAMPLES: Use the features of the vertex form quadratic equation to describe the

transformations that occur from the parent function, f(x).

𝒇(𝒙) = 𝒙𝟐

1. 𝑔(𝑥) = (𝑥 − 1)2 + 2

𝑎 =______

ℎ =______

𝑘 =______

2. ℎ(𝑥) = −2(𝑥 + 1)2 − 3

𝑎 =______

ℎ =______

𝑘 =______

You Try #1!! 𝑔(𝑥) = (𝑥 + 3)2 − 1

𝑎 =______

ℎ =______

𝑘 =______

You Try #2!! ℎ(𝑥) = −(𝑥 − 3)2 − 4

𝑎 =______

ℎ =______

𝑘 =______

You Try #3!!

𝑔(𝑥) =1

2(𝑥 + 5)2 − 1

𝑎 =______

ℎ =______

𝑘 =______