Converting Between Vertex And Standard Form Worksheet Template

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Name: ___________________________________
Period: ______
Date: ____________________
IP#3-12: CONVERTING BETWEEN VERTEX AND STANDARD FORM
1. Convert
to standard form.
2. Convert
to standard form.
3.
4.
a. What is the vertex?
a. What is the vertex?
b. Is the vertex a Max or Min?
b. Is the vertex a Max or Min?
c. What is the Line of Symmetry?
c. What is the Line of Symmetry?
d. Convert
to standard form.
d. Convert
to standard form.
e. Does graph open Up or Down?
e. Does graph open Up or Down?
f.
What is the y-intercept?
f.
What is the Line of Symmetry?
e. Graph; include a, c, and f above.
e. Graph; include a, c, and f above.
g. List the domain and range.
g. List the domain and range.
5. What is the coordinate of the y-intercept of:
A.
B.
C.
D.
6. Which function is equivalent to:
?
A.
C.
B.
D.
7. Can a maximum value for a quadratic function be negative? Can a minimum value for a quadratic function be
positive? Explain by using examples.
8. Suppose you are given a parabola with two points that have the same y-value, such as
and
.
Explain how to find the equation for the axis of symmetry of this parabola, and then determine this equation.
Convert the function from standard to vertex form, then state the vertex. Box your answer and SHOW ALL WORK!
9.
10.
Complete the following information about each function.
11. Given:
12. 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
into vertex form.
d. Convert
into vertex form.
e. What is the vertex? __________
e. What is the vertex? __________
f.
What is the Line of Symmetry? __________
f.
What is the Line of Symmetry? __________
g. Graph; include c, e, and f above.
g. Graph; include c, e, and f above.
h. List the domain and range.
h. List the domain and range.
13. 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

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