Honors Algebra 2 Unit 3 Test Review
Algebra 2 Unit 3 Test Review
For #1 and #2:
• Graph the given quadratic and provide at least 3 points on the graph.
• LIST the VERTEX, AXIS OF SYMMETRY, MAX/MIN value, and Y-INTERCEPT.
1. [pic] 2. [pic]
For #3 and 4: Identify the a, b, and c values.
• Calculate the values of the y-intercept, axis of symmetry, and vertex.
3. [pic]
a = _______ b = _______ c = _______
y – Intercept: ______________
Axis of Symmetry: _______________
Vertex: ___________________
4. [pic]
a = _______ b = _______ c = _______
y – Intercept: ______________
Axis of Symmetry: _______________
Vertex: ___________________
For #4 – 15: Write a quadratic equation in the standard form [pic]with integer coefficients based on the given roots.
4. –6 and 2
5. -1/3 and 5
6. 3/2 and -2/9
7. 8 and – 7
8. 3/5 and 6
9. - 2/5 and -1/7
Solving for roots by factoring:
10. [pic]
11. [pic]
12. [pic]
13. x2 + 2x – 35 = 0
Solving for roots by Quadratic Formula:
14. [pic]
15. [pic]
16. [pic]
17. [pic]
# 18 – 20: Write each of the following in standard form, y = ax2 + bx + c
• Identify the vertex for the equation.
• What is the axis of symmetry?
• What is direction does the parabola open?
• 18. [pic]
19. [pic]
20. [pic]
# 20 – 23: Write each of the following in vertex form, y = a(x – h)2 + k
• What is the a-value of the equation?
• What is the vertex of the quadratic?
• Write the vertex form equation of a vertical parabola y = a
• Identify the vertex, axis of symmetry, and direction the parabola will open.
20. 4x2 + 5x – 11 = y
21. y = 2x2 + 3x – 7
22. y = x2 – 6x + 2
23. y = -x2 + 5x – 2
Write the vertex form equation of a vertical parabola a given vertex and an additional point.
24. vertex of (- 3, 7) that passes through (4, -3).
25. vertex of (2, 4) that passes through (0, 16).
26. vertex of (-1, -5) that passes through (-5, 3).
SIMPLIFY each expression completely
27. i51
28. (7 + 9i) – (5 – 2i) + (3i2 + 1)
29. (-3i2)(5i)
30. 3(4 – 5i) + 6(2i + 3)
31. [pic]
32. [pic]
33. The height of a rocket shot into the air is modeled by the equation [pic], where h is the height in meters of the rocket after t seconds.
a. Find the maximum height of the rocket and when it occurs.
b. When does the rocket return to the earth?
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