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Converting From General To Vertex Form

Advanced Math

Quadratics [Day 3]

Name:___________________________

Notes: Converting from General to Vertex Form

Nov. 2015

WARM UP

: Think back to the procedure for completing the square in order to complete the blanks.

��

+ 14�� + _____

��

− 12�� + _____

��

− 40�� + _____

(�� + 7)

(�� − ____)

Use your notes from D1 and D2 to fill in the following information:

Quadratic Function in GENERAL FORM

Quadratic Function in VERTEX FORM

How to find the vertex in GENERAL FORM

How to find the vertex in VERTEX FORM

**Notice**

_______ is the one thing that doesn’t change in both forms!

To convert an equation from general to vertex form, __________________________________________

When �� = ��:

Use the method of completing the square to find the vertex form of the quadratic function.

Identify the vertex and axis of symmetry. Does the quadratic have a max or a min? What is the max or min?

Lastly, identify the domain and range (in interval notation).

�� = ��

− 10�� + 19

Example 1:

vertex form:_________________________ vertex:____________________

axis of symmetry:_________

max or min:____________

domain: ________________

range:__________________

Converting From General To Vertex Form