Math 2
Unit 3 Test Review – Station 1
Name__________________________________
1.
Let f  x   2  x 1 x  3
1a.
Find the y-intercept(s) of the function.
1b.
1c.
Find the vertex of the function.
1d.
Find the x-intercept(s) of the function.
f  2  ______ means that the coordinate
 _____, _____  is on the graph of f  x 
1e.
Does the graph of f  x  open up or
open down? How can you tell?
1g.
What is the axis of symmetry for f  x  ?
1f.
Graph the function f  x 
2.
Find the equation of the parabola that has x-intercepts of  3,0 and  2,0
and contains the point  3, 2 . Write your function in the form g  x   a  x  m  x  n 
OVER 
Math 2
Unit 3 Test Review – Station 2
Name__________________________________
Multiple Choice. Circle the correct answer. SHOW ALL NECESSARY WORK!
1.
Expand and simplify.
A) 6b 2  12
2.
4.
5.
6.
C) 6b 2  b  12
D) 6b 2  b  12
2
B) 9 x 2  49
C) 9 x 2  42 x  49
D) 9 x 2  42 x  49
Solve the following equation:
3x 2  6 x  2  0
A) x  1  1.291i
B) x  0.291 and x  2.291
C) x  5.423 and x  6.577
D) x  0.423 and x  1.577
Which of the following quadratic equations has x-intercepts at  3,0 and  4,0 ?
A) y   x  3 x  4
B) y   x  3 x  4
C) y   x  3 x  4
D) y   x  3 x  4
Which of the following quadratic equations has a y-intercept of  0, 6  ?
A) y  x 2  3x  6
B) y   x  3  6
C) y   x  3 x  2
D) y   x  3 x  2
2
Which of the below binomials is a factor of x 2  5 x  6 ?
A)  x  3
7.
B) 6b 2  17b  12
Expand and simplify.  3 x  7 
A) 9 x 2  49
3.
(2b  3)(3b  4)
B)  x  2 
C)  x  6 
D)  x  1
Which of the below binomials is a factor of 3x 2  x  4 ?
A)  3x  2 
B)  x  1
C)  3x  4 
D)  x  2 
OVER 
Use the equation below to answer questions 8-10.
y  3( x  2)2  10
8.
When compared to y = x2, the given function has been vertically _______________.
A) compressed
9.
10.
B) stretched
The vertex is located at
A) (-2, 10)
B) (-2, -10)
C) (2, 10)
D) (2, -10)
The equation of the axis of symmetry is
A) x = 2
B) x = -2
C) y = 2
D) y = -2
Math 2
Unit 3 Test Review – Station 3
Name__________________________________
Solve the following quadratic equations using any method – solving directly, factoring, quadratic formula,
or completing the square. Try to choose the most efficient method!
2
If ax  bx  c  0 , then x 
1.
x2  4x  3  0
2.
5 x 2  62  3 x 2  12
3.
2 x 2  3x  1  0
b  b2  4ac
.
2a
4.
2 x 2  7 x  15  0
5.
x 2  4 x  20  0
6.
6 x  10 x 2  0
Math 2
Unit 3 Test Review – Station 4
Name__________________________________
Answer the following questions based on the function f  x   x2  14x  24
1.
What is the form of the above equation?
2.
What are the other two forms that a quadratic equation can be written?
3.
Does the f  x  open up or open down? How do you know?
4.
What is the y-intercept of f  x  ?
5.
Use completing the square to find the vertex of f  x 
6.
Write f  x  in factored form and use the zero product property to find the x-intercepts.
OVER 
Answer the following questions based on the function g  x   4 x2 16 x  15
7.
Use completing the square to find the vertex of g  x 
8.
Write g  x  in factored form and use the zero product property to find the x-intercepts.