Algebra 2 4-2 Guided Practice: Standard Form of a Quadratic Function

by Matthew Richardson

| 7 Questionsa

1

2

Solve It! The function below models the height h of a soccer ball as it travels distance x.

NOTE: This is not the ball in the image.

1

5

Solve It! Graph the parabola representing the path of the ball. Zoom and pan your graph to establish an appropriate viewing window.

2

5

Solve It! What is the maximum height of the ball?

0.175 ft

0.2475 ft

0.45 ft

0.202 ft

3

3

10

Problem 1 Got It?

A

B

C

4

20

Problem 2 Got It? What is the graph of the function? Use the vertex, y-intercept, and axis of symmetry to sketch the graph. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

5

5

10

Problem 3 Got It?

A

B

C

D

6

10

Problem 4 Got It? The Zhaoshou Bridge in China is the oldest known arch bridge, dating to AD 605.

You can model the support arch with the function below where x and f are measured in feet. Graph the function. Zoom and pan your graph to establish an appropriate viewing window. Keep in mind that negative values for x and y are not applicable.

7

10

Problem 4 Got It? The Zhaoshou Bridge in China is the oldest known arch bridge, dating to AD 605.

You can model the support arch with the function below where x and f are measured in feet. How high is the arch above its supports? You may refer to your graph in the previous item.

72 ft

183 ft

4 ft

6 ft

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