Graphing Quadratics
Completing the square
Quadratic Formula
Comparing models
Mrs. Anthony
100
The U-shaped graph every quadratic function has.
What is a Parabola?
100
The generic value of C
What is (b/2)2?
100
The quadratic Formula
100
Identify the type of function
Linear
100
Is Mrs. Anthony having a boy or a girl?
girl
200
The axis of symmetry
What is x = -b/2a?
200
Find the value of c
x2 + 8x + c
c = 16
200
What is the value of c? 3x2 + 5x = 8
-8
200
Identify the type of function: y = abx
exponential
200
How old is Mrs. Anthony?
31
300
The coordinates of a vertex.
What is found when you plug in the axis of symmetry for x in the function and find y?
300
Write the expression the square of a binomial:
x2 - 12x + c
(x-6)2
300
What are the x values?
3x2 + 5x = 8
x = 1 or -8/3
300
Identify the type of function
exponential
300
What is Mrs. Anthony's due date?
February 17th
400
The x-intercepts
What are the solutions of a quadratic equation?
400
Solve x2 - 16x = -15 y=by completing the square
x = 15 or 1
400
Solve for x:
x2 - 8x + 16 = 0
x = 4
400
In 1970, the population of Troy was 3000. From 1970 to 2010 the population doubled every decade. What type of model would best represent this data?
exponential
400
What year did Mrs. Anthony graduate from L&G?
2006
500
Would a 6' tall basketball player standing 18' from the basket score if their ball followed the path of (1/9)x2 + 2x + 5?
Basketball hoops are 10' off the ground
No
500
The distance d(in feet) that it takes a car to come to a complete stop on dry asphalt can be modeled by d = 0.05s2 + 1.1s where s is the speed of the car ( in miles per hour). A car has 78 feet to come to a complete stop. Find the maximum speed at which the car can travel.
Hint: GCF
30 mph
500
Solve for x and y
y = x2 - x + 2
y = x + 5
(-1, 4) (3, 8)
500
The water from a water cannon on a fire-fighting boat reaches a maximum height of 25 feet and travels a horizontal distance about 140 feet. What type of function should you use to represent the path of the water?
quadratic
500
How long have Mrs. Anthony and her husband been together?
2 months shy of 15 years