Projectile Motion
Regression
Solving Quadratics
Systems
Graphing Quadratics
100
A rocket is launched, and its height is modeled by the equation
h(t)=−16t^2+80t
. What is the maximum height the rocket reaches?
100 ft
100
What is the equation of the parabola that passes through the points (-2, 6), (0, 8), (4,36)?
x^2+3x+8
100
What are the solutions of the equation
x^2+11x+24
x=-8
x=-3
100
State the solution to the following system 
(1, 0) and (4, 3)
100
What is the vertex of the parabola of
x^2+6x+4?
(-3, -5)
200
A ball is kicked from the ground, and its height is modeled by
h(t)=−16t^2+64t
. How long does it take for the ball to hit the ground?
4 seconds
200
How many stripes are there in the American flag?
13 stripes!
200
How many bones does a shark have?
None
200
What is the solution to the following system:
x^2-2x-3
y=x+1
(-1, 0) and (4, 5)
200
Does
x^2+8x-11
have a maximum or a minimum?
A minimum
300
A stone is thrown upward from the top of a building 100 feet high. The height of the stone is given by
h(t)=−16t^2+64t+100
What is the initial height of the stone?
100 ft
300
What is the equation of the parabola that passes through the points (-10, -370), (-4, -82), (0, -10), (5, -55)?
-3x^2+6x-10
300
What are the exact solutions of the equation
4x^2-12x+9?
3/2
300
On a traffic light, is the green light at the top or the bottom?
On the bottom!
300
What kind of solutions does the quadratic have?
Imaginary Solutions
400
Two balls are thrown upward. Ball A's height is modeled by
h(t)=−16t^2+96t
, and Ball B's height is modeled by
hB(t)=−16t^2+64t+20
. Which ball reaches a higher maximum height?"
Ball A (144 ft)
400
What word was named the 2024 Oxford Word of the Year, most often used by Gen Z and Gen Alpha?
Brain rot.
400
What are the exact solutions to the equation
3x^2+5x-1?
(-5pmsqrt(37))/6
400
State the solution to the system
No Solution
400
What is the y-intercept of
x^2+7x+38?
(0, 38)
500
How many bones are in the human body?
206
500
The population of a certain insect varies over time. Data is collected over a set number of weeks. What is the equation modeled by the data?
Weeks (x): 1, 2, 3, 4, 5, 6
Population (y): 100, 180, 240, 280, 300, 240
Round to 2 decimal places.
y=-15.95x^2+142.62x-34.29
500
What are the exact solutions
x^2+2x+5?
(-2pm4i)/2
500
The Statue of Liberty was gifted to the United States by which country?
France
500
How many roots does
x^2-16x+64
have?
One
Remember that x-intercepts are also called roots, solutions, and zeros!