1)
Find the yintercept for each relation (simply
set x to 0)
a)
y = 15x^{2} + 25x – 7
b)
y = 20(x – 12)^{2} + 15
c) y = 10x^{2} + 8x – 3
d) y = 0.1x^{2}  .4x – 18
e) y = 0.45x^{2} – 0.17x + 20
f) y = 0.5(x + 1.5)^{2} + 4.5
g) y = 0.2(x – 3.4)^{2} + 1
h)
y = 3(x + 2)^{2} + 9
2)
For each parabola identify the :
x and y intercepts
maximum or minium value (of y)
3)
The WindsorDetroit International Freedom
Festival hosts one of the largest firework displays in the world. The path of a
particular firework rocket is modelled by the relation h = 4.9(t – 2)^{2}
+ 169.6, where h is the height of the
rocket above the water, in meters, and t
is the time in seconds.
a)
How long will it take the rocket to reach is’t
maximum height and what is that height?
b)
A firework rocket will stay lit for an average
of five seconds. How high will the rocket be five seconds following its launch?
4)
The shape of satellite dish is parabolic. This
dish is 5 cm deep and 40 cm wide. Write a relation of the form y = a(xh)^{2}
+ k that models the shape of this dish. It’s up to you to decide where the
origin is.
(Hint: You have the vertex, and you
have a second point,
5)
Automobile manufactures have invented some
unique car designes to help drivers cope with rising fuel costs. The Smart Car
Fortwo is a very small, fuelefficient vehicle. The distance it travels when
accelerating from rest can be modelled by the relation d = 1.4t^{2}.
The Tesla Roadster is an electric car with a top sped of over 200 km / h. The
distance it travels when accelerating from rest can be modelled by the relation
d = 6.9t^{2}. In both cases, d
is distance in meters, t is time in
seconds.
a)
Complete the following table:
Time, t (Seconds) 
Distand, d_{S }of Smart
Car (Meters) 
Distand, d_{T }of Tesla
Roadster (Meters) 
0 


1 


2 


3 


4 


5 


b)
Graph the data