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!
1.
2.
Complete the following information about each function.
3. Given:
4. Given:
a. Does graph open Up or Down? __________
a. Does graph open Up or Down? __________
b. Is the vertex a Max or Min? __________
b. Is the vertex a Max or Min? __________
c. What is the y-intercept? __________
c. What is the y-intercept? __________
d. Convert
d. Convert
into vertex form.
into vertex form.
e. What is the vertex? __________
e. What is the vertex? __________
f.
f.
What is the Line of Symmetry? __________
What is the Line of Symmetry? __________
e. Graph; include c, e, and f above.
e. Graph; include c, e, and f above.
g. List the domain and range.
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
A.
B.
( )
?
C.
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 .
D.
?
.
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?