Converting From General To Vertex Form (Page 2 of 4) in pdf

Converting From General To Vertex Form Page 2

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).

�� = ��

+ 16�� + 60

Example 2:

ertex form:_________________________ vertex:____________________

axis of symmetry:_________

max or min:____________

domain: ________________

range:__________________

��

When �� ≠ ��:

Use �� = −

to find the ��-coordinate of the vertex. Then plug that value back into the

2��

equation to find the ��-coordinate of the vertex. What you have found is ______________!! Lastly, identify

the value for ��, and put the equation into vertex form.

�� = 2��

+ 8�� − 7

Example 3:

What is the value for ��?

How does it open?

Take those values and put them into the equation �� = �� ( �� − ℎ )

+ ��:________________________________

axis of symmetry:_________ max or min:____________ domain: ______________ range:____________

Example 4:

Using the procedure from Example 3, write the equation in vertex form.

�� = −��

+ 4�� − 5

�� = 3��

+ 12�� − 3

Converting From General To Vertex Form Page 2