Converting From Standard To Vertex Form Worksheet Template printable pdf download

Converting From Standard To Vertex Form Worksheet Template

Name: ___________________________________

Period: ______

Date: ____________________

IP#3-13: CONVERTING FROM STANDARD TO VERTEX FORM (COMPLETING THE SQUARE)

Convert the function from standard to vertex form, then state the vertex. Box your answer and SHOW ALL WORK!

Complete the following information about each function.

3. Given:

4. Given:

a. Does graph open Up or Down? __________

b. Is the vertex a Max or Min? __________

c. What is the y-intercept? __________

d. Convert

into vertex form.

d. Convert

into vertex form.

e. What is the vertex? __________

What is the Line of Symmetry? __________

e. Graph; include c, e, and f above.

g. List the domain and range.

5. Kristine used completing the square to change the quadratic function

into vertex form. Check

her steps and tell whether she completed each step correctly. If she made a mistake, explain how to fix it.

(

)

Step 1

(

)

Step 2

(

)

Step 3

6. Which equation represents the axis of symmetry for ( )

7. Which of the following is NOT true of the graph of the function ( )

A. Its vertex is at (

) .

C. Its maximum value is

B. Its axis of symmetry is

D. Its y-intercept is .

8. The height, h, above the roadway of the main cables of a bridge can be modeled by the quadratic

( )

function

. What is the minimum height of the cables?

Converting From Standard To Vertex Form Worksheet Template