Parabolas in Vertex Form

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Show your work for each problem.

1.
What is the vertex of ?
1. a)
2. b)
3. c)
4. d)
2.
Which direction does the parabola open?
1. a)Left
2. b)Downward
3. c)Right
4. d)Upward
3.
What is the axis of symmetry for ? (Write as x = ?)
4.
What is the value in ?
5.
Is the parabola wider or narrower than ?
1. a)Cannot determine
2. b)Same width
3. c)Wider
4. d)Narrower
6.
A parabola has vertex and . What is the -value when ?
7.
What is the vertex of ?
1. a)
2. b)
3. c)
4. d)
8.
Write the equation in vertex form for a parabola with vertex that passes through .
9.
The maximum height of a ball is 20 meters at time seconds. If the height follows and , what is ?
10.
Convert to vertex form.
11.
Which equation represents a parabola with vertex at the origin that opens downward?
1. a)
2. b)
3. c)
4. d)
12.
Convert to vertex form.
13.
A parabola in vertex form has vertex and passes through . Find the value of .
14.
Convert to vertex form.
15.
A ball is thrown and its height in meters is . What is the maximum height and when does it occur?
1. a)25 meters at seconds
2. b)2 meters at seconds
3. c)20 meters at seconds
4. d)5 meters at seconds
16.
For the parabola , at what -values does ? (Enter the smaller value)