Warner
FST: Quadratics Review Sheet
Name: _____________________________________________
Part I: In the questions #1-3, find the values of the coefficients, a, b, and c. Then sketch the function.
1.)
f(x) = x2 + 4x – 1
a = ________________
b = ________________
c = ________________
Is the vertex a minimum or a maximum?
___________________________________.
vertex
x
f(x)
2.)
f(x) = -3x2 + 6x - 9
a = __________________
b = __________________
c = __________________
Is the vertex a minimum or a maximum?
vertex
x
f(x)
Warner
FST: Quadratics Review Sheet
3.)
f(x) = 4x2 + 8x - 3
a = ___________________
b = ___________________
c = ___________________
Is the vertex a minimum or a maximum?
___________________________________.
vertex
x
f(x)
Part II: Application.
4. In Ghana from 1980 to 1995, the annual production of gold G in
thousands of ounces can be modeled by G = 12t2 -103t + 434, where t is
the number of years since 1980.
a. From 1980 to 1995, during which years was the production of
gold decreasing?
b. From 1980 to 1995, during which years was the production of
gold increasing?
c. How are parts a and b related to the vertex of the graph?
______________________________________________________
Warner
FST: Quadratics Review Sheet
Part III: Solve the Quadratic Function by graphing. What are the solutions (if any).
5.) -3x2 + 2x = -5
6.) -7x2 + 2x = -8
7.) -x2 - 2= 0
___________
______________
______________
Part IV: Quadratic or Linear Regression… You decide and answer the questions.
8. Body mass index is a measure of weight in relation to height. The table shows the body mass index B of a
person who is 152 centimeters tall and weighs w kilograms.
Weight, w
Body mass index,
B
49.4
19.55
49.94
21.5
54.48
23.46
59.02
25.41
63.56
27.37
68.1
29.32
72.64
31.28
8. Which type of regression model best represents
this data?
Linear
or
Quadratic
9. What is the regression equation?
______________________________________________
10. Use your equation to make a prediction. If
speed is weight is 80.2, what will the Body Mass
Index be?
_______________________________________________