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4-1, 4-2, 4-4, 4-8 Test Review

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Review Lesson 4-1
Question 1
1.

What is the vertex of the parabola?

Question 2
2.

What is the vertex of the parabola?

Question 3
3.

What is the vertex of the parabola?

Question 4
4.

What is the vertex of the parabola?

Question 5
5.

What is the range of the parabola?

Question 6
6.

What is the range of the parabola?

Question 7
7.

What is the range of the parabola?

Question 8
8.

What is the range of the parabola?

Question 9
9.

What is the axis of symmetry of this parabola?

Question 10
10.

What is the axis of symmetry of this parabola?

Question 11
11.

What is the domain of all parabolas?

Question 12
12.

Does this parabola have a minimum or maximum?

Question 13
13.

What is the minimum of this prabola?

Given the vertex (-1, 6) and a point (2, -2), answer the next two questions
Question 14
14.

Find the 'a' value of this parabola.

Question 15
15.

Write the equation of the parabola in vertex (graphing) form.

Given the vertex (4, -3) and a point (-1, -1), answer the next two questions
Question 16
16.

Find the 'a' value of this parabola.

Question 17
17.

Write the equation of the parabola in vertex (graphing) form.

Review Lesson 4-2
Question 18
18.

Write this function in standard form:

Question 19
19.

Write this function in standard form:

Question 20
20.

What is the vertex of this parabola? (without your graphing calculator)

Question 21
21.

What is the vertex of this parabola? (without your graphing calculator, in fraction form)

Question 22
22.

Write this function in vertex (graphing) form: (without your graphing calculator)

Question 23
23.

Write this function in vertex (graphing) form: (without your graphing calculator)

Question 24
24.

What is the axis of symmetry of this parabola?

Question 25
25.

What is the axis of symmetry of this parabola?

A cannon shoots out a cannon ball. The path of the cannon ball is modeled by the equation, h = -t2 + 8t + 9 ,

where h is the height in feet and t is the time in seconds. Use this information to answer the following questions.

Question 26
26.

What part of the parabola are you looking for if you are looking for how long it will take cannon ball one to reach it’s maximum height (a, h, k, x, y)? _______

How long does it take for it to reach it’s maximum height? _______
Question 27
27.

What part of the parabola are you looking for if you want to find cannon ball’s maximum height (a, h, k, x, y)? _______

Find it’s maximum height. _______
Question 28
28.

What are you looking for if you want to know when the cannon ball will land? _______

What do parabola's have that make it possible to find this value? _______

How long will it take the cannon ball to land? _______
Question 29
29.

This little boy kicked a soccer ball that followed path modeled by this function. How far did he kick the ball (in feet)?

Question 30
30.

How high did the little boy kick the ball?

Question 31
31.

Dante and Armando are playing hackey sack. Dante kicks the sack toward Armando and it leaves his foot following the path modeled by this function: (where y is the height in feet and the x is the horizonal distance traveled in feet)

How high does the hackey sack go (to the nearest foot)?

Question 32
32.

If Armando and Dante are standing 7 feet apart, will Armando be able to return this kick without stepping toward Dante?

Question 33
33.

How far away from Dante will the hackey sack land (to the nearest foot)?

Review Lesson 4-4
Question 34
34.

Factor completely:

Question 35
35.

Factor completely:

Question 36
36.

Multiply using F.O.I.L.

Question 37
37.

Factor completely:

Question 38
38.

Factor completely:

Question 39
39.

Factor completely:

Question 40
40.

Factor completely:

Question 41
41.

Factor completely:

Question 42
42.

Factor completely:

Review Lesson 4-8
Question 43
43.

Multiply and/or simplify

Question 44
44.

Multiply and/or simplify

Question 45
45.

Multiply and/or simplify

Question 46
46.

Multiply and/or simplify

Question 47
47.

Multiply and/or simplify

Question 48
48.

Multiply and/or simplify

Question 49
49.

Multiply and/or simplify

Question 50
50.

Multiply and/or simplify

Question 51
51.

Multiply and/or simplify