Name________________________



Name________________________ Algebra 2 Intensified

Date_________________ Pd_____ Review for Ch. 5 Test

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#1 – 7: Use the standard form method to graph the function [pic]. Show your work!

1) Find the vertex. 2) Find the y-intercept. 3) What is the axis of symmetry?

4) Complete the x-y chart and graph.

[pic]

Directions: For 8 – 11, FACTOR and Solve.

8) [pic] 9) [pic]

10) Write a quadratic equation with the following roots. Write the equation in the form [pic], where a, b, and c are integers.

a. [pic] and [pic] b. [pic]

Directions: For 11 – 12, Solve by using the QUADRATIC FORMULA. Leave answer in radical form. (you must use the quadratic formula for full credit)

11) [pic] 12) [pic]

Directions: For 13 – 14, find the discriminant and describe the number and type of roots.

13) [pic] 14) [pic]

Directions for #15 - 20: Factor completely. If not factorable, write prime.

15) [pic] 16) [pic]

17) [pic] 18) [pic]

19) [pic] 20) [pic]

21) Factor completely and solve.

[pic]

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22) Find the value of c that makes the trinomial a perfect square. Then, write the trinomial as a perfect square.

a. [pic] b. [pic]

Directions: For 23 – 24, Solve by COMPLETING THE SQUARE. Leave answer in radical form. (you must use the completing the square method for full credit)

23) [pic] 24) [pic]

25) The graph of a quadratic function is shown below. What are the solutions of the related quadratic equation?

Directions: For 26 – 29, solve using the method of your choice. Find exact solutions!

26) [pic] 27) [pic]

28) [pic] 29) [pic]

Directions: For 30 – 31, write the equation in vertex form. Then, identify the vertex, axis of symmetry, determine the direction of opening, and say whether it’s wider or narrower than the parent graph [pic].

30) [pic] 31) [pic]

Directions: For 32 – 33, write an equation in vertex form for the parabola with the given vertex that passes through the given point.

32) vertex: [pic] 33) vertex: [pic]

point: [pic] point: [pic]

34) Change the equation to vertex form. Then, analyze the function and then graph it. [pic]

Equation in vertex form:

Analysis: Answer the following.

Vertex:

Axis of Symmetry:

Direction of opening:

Wider or narrower than [pic]?

The graph is translated _____ units __________ and _____ units __________.

Now, graph the function below.

35) Solve. [pic]

16) Simplify.

a. [pic] b. [pic]

37) Evaluate [pic]

a) [pic] b) [pic] c) [pic] d) -1

38) Simplify [pic]

a) [pic] b) [pic] c) [pic] d) [pic]

39) Evaluate [pic]

a) [pic] b) [pic] c) 2[pic] d) [pic]

40) Factor completely [pic].

a) [pic] b) [pic] c) [pic] d) [pic]

41) Simplify [pic].

a) [pic] b) 34 c) [pic] d) 16

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5) State the maximum or minimum.

6) State the domain and range in interval notation.

Domain:

Range:

7) Find the zeros. (round to 3 decimal places)

[pic]

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