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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.

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1.

What is the axis of symmetry?

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2.

What is the vertex?

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3.

What is the y-intercept?

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4.

One of the x-intercepts?

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5.

The other x-intercept?

Answer questions 6-10 for the following quadratic.

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6.

What is the axis of symmetry?

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7.

What is the vertex?

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8.

What is the y-intercept?

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9.

What is one of the x-intercepts?

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10.

What is the other x-intercept?

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11.

What is the axis of symmetry?

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12.

What is the vertex?

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13.

What is the y-intercept?

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14.

What is the left-most x-intercept?

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1
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18.

What is the axis of symmetry?

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19.

What is the vertex?

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20.

What is the y-intercept?

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21.

What is the left-most x-intercept?

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22.

What is the other x-intercept?

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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.

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24.

What is the max height she threw the ball?

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25.

How far from the start did she throw the ball?

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26.

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

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27.

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

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28.

What is the x-intercept on the left side?

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29.

What is the x-intercept on the right side?

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30.

What is the y-intercept?

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31.

What is the y-intercept?

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32.

What is the x-intercept on the left side?

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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.

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34.

How high was the bridge?

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35.

When did the stone reach its highest value?

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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.

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42.

Who threw their javelin the furthest from the start?

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43.

Who threw their javelin the highest?

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44.

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

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1
1
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49.

What is the factored form of

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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.

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51.

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

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52.

What was the highest the dolphin jumped above water?

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53.

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

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54.

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

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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.

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56.

How tall was the building?

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57.

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

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58.

What was the highest the penny was above ground?

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59.

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

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60.

How long was the height of the penny increasing?

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15.

What is the other x-intercept?

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16.

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

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17.

Does this graph have a minimum or a maximum?

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23.

Does this graph have a minimum or maximum?

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36.

What is the highest the stone went?

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37.

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

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38.

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

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39.

What is the axis of symmetry?

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40.

What is the vertex?

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41.

What does the vertex stand for?

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45.

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

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46.

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

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47.

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

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48.

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