Algebra 2 – Chapter 5.1 – 5.4 TestA
Name: ______________________________
Graph each function. State the axis of symmetry and the maximum or minimum value.
(6 points each)
1) y  3x 2  4
2) y  2 x 2  8 x  1
Axis of Symmetry: ___________
Axis of Symmetry: ___________
Max or Min (circle one) y-value is: _____
Max or Min (circle one) y-value is: _____
1
3) Identify the vertex and graph the function: y  ( x  4) 2  3 (6 points)
2
Vertex: ____________
Determine whether the given function is linear or quadratic. Write your answer in the blank. Explain
your reasoning. (2 points)
4) f ( x)   x(3x  6)
4) ______________
5) Identify the vertex and graph the function: y  3( x  1)2  5
(6 points)
Vertex: _____________
6). Writing: Precisely describe the translation of the graph of 𝑦 = −2(𝑥 + 6)2 − 4 from the parent function =
𝑥 2 . Use correct vocabulary. (4 points)
Write the equation of the parabola in vertex form and then graph it. Show work.
(8 points)
7) y  x 2  4 x  6
Vertex form:____________________
Identify the vertex and the y-intercept of the graph of the function.
(2 points)
8) y  9( x  2) 2  15
8) Vertex: ________
y-intercept: _______
Write the function in standard form.
(3 points)
9) y  (3x  4) 2  14
9) ______________
Factor each expression.
(2 points each)
10) 22 x 5  12 x 4  6 x 3  20 x
11) x 2  10 x  24
10) ______________
11) ______________
12) 4𝑥 2 − 20𝑥 + 25
13) x 2  x  20
12) ______________
13) ______________
14) 9 x 2  16
14) ______________
Factor each expression
(3 points each)
15)
1 2 1
n 
2
2
16) -3x2 +14x – 8
15) ______________
16) ______________
17) 15 x 2  7 x  2
18) 2 x 2  3 x  20
17) ______________
18) ______________
19) A rock club’s profit from booking local bands depends on the ticket price. Using past receipts, the owners
find that the profit p can be modeled by the function p  15t 2  600t  50 where t represents the ticket price in
dollars. (6 points)
a) What price will give the maximum profit?
b) What is the maximum profit?