Introduction to Quadratic Equations

Name:

Class:

Date:

Show your work for each problem.

1.
Which of the following is a quadratic equation?
1. a)
2. b)
3. c)
4. d)
2.
In the equation , what is the value of ?
3.
For the equation , what is the value of ?
1. a)
2. b)
3. c)
4. d)
4.
In , what is the value of ?
5.
If in a quadratic equation, which direction does the parabola open?
1. a)Left
2. b)Right
3. c)Upward (∪)
4. d)Downward (∩)
6.
Rewrite in standard form and identify , , and .
7.
Find the x-coordinate of the vertex for .
8.
Find the vertex of .
9.
For , the vertex represents:
1. a)A maximum point
2. b)The y-intercept
3. c)A minimum point
4. d)The x-intercept
10.
If the vertex of a parabola is at and , is 5 the maximum or minimum value? (Write 'maximum' or 'minimum')
11.
For , find the axis of symmetry and vertex.
12.
A ball is thrown upward. Its height is . When does it reach maximum height?
1. a) second
2. b) seconds
3. c) seconds
4. d) seconds
13.
A company's profit is euros, where is items sold. Find the number of items to maximize profit.
14.
For , what is the maximum value of the function?
15.
Rewrite in standard form, identify , , , and find the vertex.