Download Alg II Review over 2.5-2.8

Algebra II Review for Sec 2.5 – 2.8
Name________________________
Period
The table shows the enrollment at Westside High during the years 2004–2009.
Enrollment at Westside High
Year
2004
2005
2006
2007
2008 2009
Enrollment
1582
1635
1674
1723
1745 1801
1.
a. Make a scatter plot of the data and draw a best fit line. Let x = the number of years since 2004.
Label axes (including scale).
b.
Use two points on the graph of the line to calculate the slope of the best fit line, and then write an equation for the
line in slope intercept form.
Slope
Equation of Line:
c. Enter the data in your calculator and use the calculator to find the equation for the line of best fit.
(Round numbers to the nearest hundredth.)
c.
d. Estimate the enrollment in 2015.
d.
Draw a scatter plot of each set of data. Decide whether a linear model is reasonable. If so, describe the
correlation. Then draw the best fit line and write its equation.
2. {(3,5), (4, 7), (5, 9), (7, 10), (8, 10), (9, 11), (10, 13)}
Calculated Equation:
Calculator Equation:
3. {(0, 17.5), (3, 35.4), (6, 50.5), (9, 60.6), (12, 66.3)}
Calculated Equation:
Calculator Equation:
Write the equation for the transformation for the transformations of the graph y = f(x).
4. Translated left 4 units, down 7 units
5. Reflected over the x axis, translated right 3 units, up 5 units
6. Vertical compression of 0.3, reflected over the x axis, translated up 5 units
7. Reflection over the x axis, vertical stretch of a factor of 3, translated left 3 units, down 2 units
Describe the transformation(s) of the parent function f(x).
8. y  f  x  3  2
9. y   f  x  3  1
10. y  3 f   x   4
11. y  3 f   x 
Describe the transformation of f(x) = 3x that produced g(x)
12. g(x) = 3x – 7
13. g(x) = 3(x+2) – 5
14. g(x) = -3x +2
15. g(x) = x +4
Write an equation for each translation of the graph y = |x|
16. up 4 units, right 2 units
17. vertex (3, 7)
18. Reflection over the x-axis, vertical compression of ½, translated left 3, and translated down 8
19. Vertical stretch of 3, reflection over the x-axis, translated up 5
Identify the transformation that was performed to the parent graph y = |x|, then identify the vertex, and axis of
symmetry.
20. y = 3|x – 2| + 7
22. y = -|x| +2
21. y = 2|x – 4|
23. y = -|x - 3| - 4
Describe the transformations performed to each graph. Identify the vertex and axis of symmetry, and graph each
of the following. Identify the domain and range.
y | x  4 | 4
24. y  ( x  3)2  2
25.
26.
y  3 x  2  3
Graph each of the following inequalities.
y  3x  2
28.
27.
y
1
x5 3
2
29. y  x  2  4