Math 103 Vertex Form Of A Quadratic Function Worksheet - Oregon State University

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Math 103
Group Activity Problems (W9B)
Name:___________________________
Vertex Form of a Quadratic Function
Section 3.1 (Due June 1)
Prerequisite Skills
Key Terms
Learning Objectives for this Activity
- Multiplying and dividing fractions
- Quadratic Function
- Identify the vertex of a parabola from its formula in
- Expanding binomials
- Vertex of a quadratic function.
vertex form.
- Factoring perfect squares
- Vertex Form of a quadratic function.
- Convert quadratic equations/functions between
- Standard Form of a quadratic function.
standard form and vertex form.
- Completing the square.
1. Identify the following: Is it a quadratic or not?
a.
b.
c.
d.
2. Identify the following: Is it a quadratic or not?
2
5��
2
2
2
a. �� ( �� ) = 10�� − 3
�� + 1 = �� ( �� )
e. �� ( �� ) = 3 + 2��
b. 6 − ��
+ �� = ��
= ��(��)
d. 7��
c.
��
3. A quadratic function f is graphed
a.
Find the vertex. What is the coordinate point?
b. What is the domain of f?
What is the range of f?
c. Fill in the box
Vertex Form of a Quadratic
d. The x-value of the vertex is the h. The y-value of the vertex is the k.
Find the (x, y) coordinates of one other point on the graph. Plug all
The formula for a quadratic function is in
those in and solve for a to finish your equation.
vertex form if it is written as (see page 159):
If a quadratic function is in vertex form then
its vertex is at the point (see page 159):

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