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A31 - Vertex, Axis of Symmetry, X-intercepts

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Springboard Algebra 1 Activity 31

1
1

Answer questions 1-5 for the following quadratic.

1
Pitanje 1
1.

What is the axis of symmetry?

1
Pitanje 2
2.

What is the vertex?

1
Pitanje 3
3.

What is the y-intercept?

1
Pitanje 4
4.

One of the x-intercepts?

1
Pitanje 5
5.

The other x-intercept?

Answer questions 6-10 for the following quadratic.

1
Pitanje 6
6.

What is the axis of symmetry?

1
Pitanje 7
7.

What is the vertex?

1
Pitanje 8
8.

What is the y-intercept?

1
Pitanje 9
9.

What is one of the x-intercepts?

1
Pitanje 10
10.

What is the other x-intercept?

1
Pitanje 11
11.

What is the axis of symmetry?

1
Pitanje 12
12.

What is the vertex?

1
Pitanje 13
13.

What is the y-intercept?

1
Pitanje 14
14.

What is the left-most x-intercept?

1
1
1
1
Pitanje 18
18.

What is the axis of symmetry?

1
Pitanje 19
19.

What is the vertex?

1
Pitanje 20
20.

What is the y-intercept?

1
Pitanje 21
21.

What is the left-most x-intercept?

1
Pitanje 22
22.

What is the other x-intercept?

1

Janie is at a throwing contest. The object is to see who can throw the very heavy ball the highest off the ground or the furthest distance. The graph on the left represents Janie's throw.

1
Pitanje 24
24.

What is the max height she threw the ball?

1
Pitanje 25
25.

How far from the start did she throw the ball?

1
Pitanje 26
26.

When the ball was 1 meter away from the start, how high was the ball?

1
Pitanje 27
27.

How far was the ball from the start when it began to fall back to the ground?

1
Pitanje 28
28.

What is the x-intercept on the left side?

1
Pitanje 29
29.

What is the x-intercept on the right side?

1
Pitanje 30
30.

What is the y-intercept?

1
Pitanje 31
31.

What is the y-intercept?

1
Pitanje 32
32.

What is the x-intercept on the left side?

1
Pitanje 33
33.

What is the x-intercept on the right side?

A'niya throws a stone off a bridge into a river below. The graph represents this data with y being the height of the stone above the water in meters x seconds after being thrown.

1
Pitanje 34
34.

How high was the bridge?

1
Pitanje 35
35.

When did the stone reach its highest value?

1
1
1
1
1
1

Ace and Bob were throwing javelins at the start. Bob said that he can throw the javelin the furthest distance if he throws it as high as he can. Ace says that he can throw the javelin the furthest if he has less of an arc than Bob. Their data is the graph on the left.

1
Pitanje 42
42.

Who threw their javelin the furthest from the start?

1
Pitanje 43
43.

Who threw their javelin the highest?

1
Pitanje 44
44.

At what distance from the start were the two javelins the same height above the ground?

1
1
1
1
Pitanje 49
49.

What is the factored form of

Pitanje 50
50.

What is the factored form of

Helga the Dolphin is swimming in her natural habitat. A group of marine biologists are recording the height dolphins can reach when jumping out of water in relation to how much time they spend out of water in the jump. The left is the data that represents this.

1
Pitanje 51
51.

How much total time did the dolphin spend out of water in this particular jump?

1
Pitanje 52
52.

What was the highest the dolphin jumped above water?

1
Pitanje 53
53.

How long was the dolphin out of water when she reached her largest height above water?

1
Pitanje 54
54.

How high above the water was the dolphin 2 seconds after jumping out the water?

1
Pitanje 55
55.

How high was the dolphin after 0.5 seconds from jumping out the water?

Cythia is exploring tossing a penny from a building. The quadratic used to represent this data is shown below.

1
Pitanje 56
56.

How tall was the building?

1
Pitanje 57
57.

How long was the penny in the air before hitting the ground?

1
Pitanje 58
58.

What was the highest the penny was above ground?

1
Pitanje 59
59.

How high above the ground was the penny 5 seconds after being tossed?

1
Pitanje 60
60.

How long was the height of the penny increasing?

Pitanje 15
15.

What is the other x-intercept?

Pitanje 16
16.

Which of the following is the function that represents this graph?

Pitanje 17
17.

Does this graph have a minimum or a maximum?

Pitanje 23
23.

Does this graph have a minimum or maximum?

Pitanje 36
36.

What is the highest the stone went?

Pitanje 37
37.

How much time passed by when the stone was 15 meters above water?

Pitanje 38
38.

How long did it take the stone to hit the water?

Pitanje 39
39.

What is the axis of symmetry?

Pitanje 40
40.

What is the vertex?

Pitanje 41
41.

What does the vertex stand for?

Pitanje 45
45.

What is the highest the red javelin was thrown above the ground?

Pitanje 46
46.

At what time did the red javelin have a heigh of 30 meters above ground?

Pitanje 47
47.

How high above the ground was the green javelin when it was 1 meter away from the start?

Pitanje 48
48.

How high above the ground was the red javelin when it was 7 meters away from the start?