Characteristics
Domain/Range
Quadratic Equations
Word Problems
10
Write the Quadratic Function for Average Joe:
y = x^2
10
What is Domain and Range?
Domain: all possible x-values or just x-values
Range: all possible y-values or just y-values
10
Determine the Quadratic Function:
y=-5x^2+5
10
What does the word optimal mean when it comes to Quadratic Functions?
Find the Maximum or Minimum value!
20
Given the a general function of a Quadratic in Vertex form, what letters correspond to the Vertex?
y = a(x-p)^2+q
(p, q)
20
What notation is the following expression of the Range in:
{y|y>= 5, y in RR}
Set Notation
20
Determine the Quadratic Function of the following:
Vertex at (-3, 5) and passes through the point (0, 2)
y = -1/3(x+3)^2+5
20
A person drops a rock off a cliff that can be modeled by d(t) = 9.8t^2 , where d is the distance travelled in metres after t number of seconds.
How far does the rock travel after 7.6 seconds to the nearest tenth?
566.0m
30
What is the direction of opening for the following Quadratic Function?
y=-2(x+5)^2
Down
30
State the Domain and Range using Interval Notation:
y = 7/9(x-5)^2-37
Domain: (-infty, +infty)
Range: [-37, +infty)
30
Convert the following Quadratic Function to Standard Form:
y = -15 (x - 4)^2 + 2
y = -15 x^2 + 120 x - 238
30
An advertising company uses a quadratic function N(b) = -2.75(b-30)^2 + 250000 to determine the effectiveness of their billboard campaign. Where N is the predicted number of product purchased for each billboard b ad shown.
Draw a sketch of this Quadratic and label the vertex and the both axis.
Graphs may vary
50
Determine the Equation of the axis of symmetry for the following Quadratic Function:
y = -5(x+2)^2 - 15
x = -2
50
State the Domain and Range using Set Notation:
y = -15/4(x-3)^2+55
Domain: {x|x in RR}
Range: {y|y <= 55, y in RR}
50
What is the name of the process that switches a Quadratic function in Standard Form to Vertex Form?
Completing the Square
50
A model rocket is launched from the roof of a building. Its flight path is modeled by h(t) = -5t^2 + 30t + 10 where h is the height of the rocket above the ground in metres and t is the time after the launch in seconds.
What is the rocket’s maximum height?
(3,-1)
125
How many x-intercepts does the following Quadratic Function have:
y = -5/2(x+15/2)^2+500/73
2
125
Write any Quadratic Function with the following Domain and Range:
{x|x in RR}
{y|y <= 15, y in RR}
Any Quadratic that has the following form:
y = a(x-p)^2+15
so long as a < 0 it does not matter what p is!
125
Write the following Quadratic Function in Vertex form:
y = -5x^2 - 30x - 40
y= -5(x-3)^2 +5
125
Tickets to a school dance cost $4 and the projected attendance is 300 people. For every $0.10 increase in ticket price, the dance committee projects that attendance will decrease by 5.
Determine the dance committee’s max revenue.
Max revenue happens when tickets are $3 each x = 10 which yields $1250