5.8 Homework Handout
Write the vertex form of the quadratic equation shown in each graph.
1.
2.
Write the standard form of the quadratic equation shown in each graph.
3.
4.
5.) Write the vertex form of the equation of the parabola with vertex
(-1,-5) and passes through the point (1,-1).
6.) Write the vertex form of the equation of the parabola with vertex (4,5)
and passes through the point (8,-3).
5.8 Homework Handout
7.) Write the standard form of the equation of the parabola with xintercepts of (1,0) and (4,0) and passes through the point (3,2).
8.) Write the standard form of the equation of the parabola with xintercepts of (-5,0) and (2,0) and passes through the point (1,4)
9.) Consider the following data which shows the speed that a car is
traveling and the distance that the car takes to come to a complete
stop (braking distance) when it is traveling at that speed.
Speed of a Car (mph)
0
22
33
44
55
Braking Distance (Feet)
0
19
43
79
128
a.) Plot the scatterplot of Braking Distance vs Speed on your graphing
calculator. Do you think that a linear or quadratic regression model fits
the data better?
b.) Find a linear regression model for the data using your graphing calculator.
Report the equation of the linear model below. Report the r2 value for
this model.
c.) Find a quadratic regression model for the data using your graphing
calculator. Report the equation of the quadratic model below. Report the
r2 value for this model.
d.) Using the model that fits the data best, predict the braking
distance of a car that is traveling 72 miles per hour.
5.8 Homework Handout
3.) The dosage chart below was prepared by a drug company for doctors who
prescribed Tobramycin, a drug that combats serious bacterial infections
such as those in the central nervous system, for life-threatening
situations.
Weight(pounds)
88
99
110
121
132
143
154
165
176
187
198
209
Dosage(mg)
40
45
50
55
60
65
70
75
80
85
90
95
a.) Graph a scatter plot of Dosage vs. Weight on your graphing
calculator. Do you think that a linear or quadratic regression model fits
the data better?
b.) Find a linear regression model for the data using your graphing calculator.
Report the equation of the linear model below. Report the r2 value for
this model.
c.) Find a quadratic regression model for the data using your graphing
calculator. Report the equation of the quadratic model below. Report the
r2 value for this model.
d.) Using the model that fits the data best, predict the correct dosage of
Tobramycin for a patient who weighs 230 pounds.
5.8 Homework Handout