Vertex Form
Factored Form
Applications
St Patrick's Day Trivia
100
Write a quadratic equation given the transformations:
opens down, stretch of 5, left 3, up 1
y=-5(x+3)^2+1
100
Write an equation for the graph in factored form.
y=-(x+3)(x+1)
100
A baloon's height above the surface of a lake is given by the equation:
y=-5x^2+30x+19
What is the initial height of the balloon? (In feet)
19 feet
100
What is the national flower/emblem of Ireland?
The Shamrock
200
Write a quadratic equation given the transformations:
shrink of 1/3, right 1, down 7
y=1/3(x-1)^2-7
200
Write a quadratic equation in factored form given the information:
x-intercepts: (-1,0) and (5,0)
point: (0,-10)
y=2(x+1)(x-5)
200
A baloon's height above the surface of a lake is given by the equation:
y=-5x^2+30x+19
How long will it take the balloon to reach its maximum height? (In hours)
3 hours
200
Why is St. Patrick's day celebrated on March 17th?
It's the day St. Patrick died
300
Write a quadratic equation in vertex form given the information:
Vertex: (1,16), Point: (3,0)
y=-4(x-1)^2+16
300
Write an equation in factored form given the table:
y=2(x-2)(x-4)
300
A baloon's height above the surface of a lake is given by the equation:
y=-5x^2+30x+19
What is the maximum height of the balloon? (in feet)
64 feet
300
What American city has dyed its river green ever St. Patrick's Day since 1962?
Chicago!!!!
400
Write an equation in vertex form given the table:
y=-(x-2)^2+1
400
Write an equation for the graph in factored form.
y=-3(x+2)(x-1)
400
Jackson threw a basketball and it's height above the ground is given by the equation:
y=-3x^2+12x+1
How long did it take for the basketball to reach its maximum height? (in seconds)
2 seconds
400
What is the traditional main dish served at many St. Patrick's Day celebrations in America?
Corned beef and cabbage
500
Write an equation for the graph in vertex form.
y=-1/2(x+2)^2+2
500
Write an equation for the graph in factored form.
y=1/3(x+5)(x-1)
500
Jackson threw a basketball and it's height above the ground is given by the equation:
y=-3x^2+12x+1
What is the basketball's maximum height? (in feet)
13 feet
500
Which US state has the biggest St. Patrick's Day parade in the world?
New York