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Honors Algebra 2 Name: _____________________________

Chapter 3 Review

Caughell Date: _______________ Hour:__________

1. Write an equation for the circle with the same center as [pic]

and has the same radius as the graph of: [pic]

2. Find the zeroes by COMPLETING THE SQUARE: 3x2 + 12x + 7 = 67

3. Find the maximum vertical distance between the parabola and the line for the shaded region

[pic]

[pic] [pic]

4. Given the graph, write an equation in Vertex form for the parabola

[pic]

Find the center and radius of the circle with the given equation:

5. [pic]

6. Given the equation: [pic], find the Difference Quotient for it: [pic]

(Your answer must be in most simplified form)

7. Given: [pic] , [pic]find[pic]

8. Given: [pic] and [pic], find [pic]

9. The cost of a piece of PVC water pipe varies jointly with its diameter and its length. If a 20 foot pipe with a diameter of 1 inch costs $6.80, then what will the cost be for a 10 foot pipe with a diameter of [pic]inch?

10. Determine whether [pic] has a maximum or minimum value and find that value (Find

the output or the “y” value).

11. Find all of the points on the y-axis that are 13 units away from the point (12,6)

13.

Write an equation in Vertex Form for the shaded region of the rectangle.

x + 8

x 2 3 x -2

12. Ms. Guinn and her family enjoy spending time on their sailboat. One day, she was sailing and was approaching the Belle Isle Bridge. The height of the mast of her sailboat is 25ft above the water. The arch of the bridge support is described by the equation: [pic] Will Ms. Guinn be able to sail under the boat safely? If so, by how much? If not, how much will she miss by?

[pic] [pic]

|Can She Make It Safely Under the Bridge? | |

| |

|IF she DOES clear the bridge, by how many feet does she clear | |

|it? | |

| |

|IF she DOES NOT clear the bridge, by how many feet does she | |

|miss? | |

Sketch the graphs, label the intercepts, the vertex, and the axis of symmetry

14. [pic]

15. Write an equation in Vertex and Standard form for the given parabola:

[pic]

13. Given: [pic] , find[pic]

14. Given: [pic] and [pic], find [pic]

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