Quadratic Features Vocabulary
Quadratic Features Graphically
Quadratic Features in context
Real World Applications
Unit 3 Review
100
Another name for "u shaped"
parabola
100
Would the a value be positive or negative? How do you know?
the a value would be negative because the graph opens down.
100
The number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by: m(x)=−x2+14x
What quadratic feature would tell you the maximum amount of mosquitos?
the maximum = the vertex
100
The number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by: m(x)=−x2+14x
where x = amount of rainfall (cm) and m(x) = amount of mosquitoes in millions
What is the maximum possible number of mosquitoes?
HINT: graph the function
49 million
100
A charity organization is selling raffle tickets to raise funds. The profit from the tickets can be
modeled by the equation P(x) = 4x - 50, where x is the number of tickets sold.
Which best describes the possible domain?
A) all real numbers greater than 0 (Examples 0.5 , 6, 8.2, 10)
B) all whole numbers (Examples 0, 1, 2, 3, 4, ...)
C) all integers (Examples ...-2, -1, 0, 1, 2, ...)
D) any rational number greater than 0 (Examples 2.5 , 11, 14.8, 20)
B) all whole numbers (Examples 0, 1, 2, 3, 4, ...)
200
A line that cuts a quadratic into two perfect halves.
Axis of Symmetry
200
Does this graph have maximum or minimum?
Minimum
200
A rock was launched and it's path is modeled in the picture. What feature tells you when the rock hit the ground?
the x-intercept
200
A local company's main source of income is selling holiday earrings.
The company's annual profit (in thousands of dollars) as a function of the price of the earrings (in dollars) is modeled by:
P(x)=−2x2+16x−24
where x = price of the earrings and P(x) = dollar amount, in thousands, of annual profit
What earring price should the company set to earn a maximum profit?
$4
200
An arithmetic sequence is given:
9, 16, 23, 30, ...
Identify the recursive formula for this sequence.
An= An-1 + d
An= An-1 +7
300
The point in which a function crosses the y axis.
y-intercept
300
How many zeros does this graph have?
no x-intercepts
300
A rock was launched and it's path is modeled in the picture. What feature tells you the height the rock was initially thrown from?
the y-intercept
300
A rock was launched and it's path is modeled in the picture. What height was the rock throw from?
2 ft
300
A concession stand sells hamburgers (h) for $2 and hotdogs (d) for $1. On Friday night they sold a total of 300 hamburgers and hotdogs and made $420.
Write the system for this situation.
h + d = 300
2h+1d=420
400
The turning point of a quadratic that lies on the axis of symmetry.
vertex
400
Name the axis of symmetry (x= ?) and the vertex.
AOS: x= 3
Vertex: (3,1)
400
A ball was thrown and its trajectory is depicted in the diagram.
What feature tells you the maximum height of the ball?
the y-value of the vertex
400
A rock was launched and it's path is modeled in the picture. How long did it take the rock to reach the ground?
4.16 seconds
400
For the inequality below identify what kind of boundary line it would have and where the shading would be.
y ≤ x + 1
solid line and shade below
500
Name at least two other names for x-intercepts.
Root
Solutions
Zeros
500
What is the initial value?
(0,-3)
500
A ball was thrown and its trajectory is depicted in the diagram.
What feature tells you how long it took to reach the maximum height?
the x-value of the vertex
500
A ball was thrown and its trajectory is depicted in the diagram.
How many seconds did it take for the ball to reach it's maximum height?
2 seconds
500
Jarred wants to buy a go-cart for $1,200. His part-time job pays him $160 a week. He has already saved $400. Write an inequality that represents the minimum number of weeks (w) he needs to work, in order to have enough money to buy the go-cart?
160w + 400 ≥ 1200