Algebra 2 ~ 5.1-5.3 Quiz
Directions: Show all work and reasoning to receive full credit.
Name:
Rewrite in standard form y  ax  bx  c and determine whether each function is linear or quadratic.
2
1.
y  x  2x  4
2. y  5 x x  5  5 x
2
Identify the vertex and axis of symmetry.
3.
5
4.
3
4
2
1
-3
-2
-1
3
1
2
3
4
2
Vertex:
5
-1
Vertex:
1
-2
Axis of symm:
-3
-4
-3
-2
-1
1
2
3
4
Axis of symm:
-1
-4
-2
-5
-3
5. Americans spend a considerable amount of money on personal technology every year. The table shows how much was spent each
year starting with 1970 (which we are considering year zero).
0
8.8
Year (0 = 1970)
Billions of Dollars
10
17.6
20
53.8
22
61.2
24
78.5
26
89.7
a. Use your calculator to find a quadratic regression for this data (round decimals to the nearest thousandth):
b. Use the model to estimate the billions of dollars spent on technology in year 16 (1986):
Graph the functions.
6. y  2 x  4 x  3
7. y   x  2 x  5
2
2
Open up or down? (answer only): ____________
Open up or down? (answer only): _________________
Vertex (work and answer):
Vertex (work and answer):
y – intercept (answer only): )______________
y – intercept (answer only): _______________
10
10
8
8
6
6
4
4
2
2
-10 -8 -6 -4 -2
2
4
6
8 10
-10 -8 -6 -4 -2
2
-2
-2
-4
-4
-6
-6
-8
-8
-10
-10
4
6
8 10
Write each function in vertex form y  a( x  h)2  k . Sketch the graph of the function and label its vertex.
8.
y = 2x2 + 8x
9.
y = –x2 + 4x – 1
10
10
8
8
6
6
4
4
2
-10 -8 -6 -4 -2
2
2
4
6
8 10
-10 -8 -6 -4 -2
2
-2
-2
-4
-4
-6
-6
-8
-8
-10
-10
4
6
8 10