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 YINTERCEPT.
1. y  x  6 x  3
2
2.
y  x2  4x  1
For #3 and 4: Identify the a, b, and c values.
 Calculate the values of the y-intercept, axis of symmetry, and vertex.
3. y  3 x  9 x  11
4.
a = _______
a = _______ b = _______ c = _______
2
b = _______ c = _______
y  2 x 2  6 x  5
y – Intercept: ______________
y – Intercept: ______________
Axis of Symmetry: _______________
Axis of Symmetry: _______________
Vertex: ___________________
Vertex: ___________________
For #4 – 15: Write a quadratic equation in the standard form
y  ax 2  bx  c with integer coefficients based on the given roots.
4. –6 and 2
5. -1/3 and 5
7. 8 and – 7
8.
3
/5 and 6
6.
3
/2 and -2/9
9. - 2/5 and -1/7
Solving for roots by factoring:
2
10. x  5 x  14  0
2
11. x  8  2 x
2
12. 4 x  4 x  12 x  5
13. x2 + 2x – 35 = 0
Solving for roots by Quadratic Formula:
2
14. 7 x  140  0
15. x  4 x  10
2
16. 3 x  4 x  2  0
2
17. 2 x  5 x  4  0
2
# 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.
y  ( x  4) 2  5
19.
y  3( x  2) 2  9
20.
y  2( x  3) 2  4
# 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)
17
32. i
31.
 6   30
33. The height of a rocket shot into the air is modeled by the equation h( t )  16t  6t  302 ,
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.
2
b. When does the rocket return to the earth?