Basics
Factoring
Quadratic formula
Graphing
Word problems
100
The standard form of a quadratic equation.
ax^2+bx+c=0
100
Factor x^2+5x
x(x+5)
100
The quadratic formula
100
The shape of the graph of any quadratic function.
parabola
100
The product of two consecutive integers is 12. Find the integers
3 and 4
200
The part of the quadratic formula under the square root sign
discriminant
200
Factor x^2−3x
x(x−3)
200
Solve x^2−4x−5=0 using the quadratic formula
x=5 or x=−1
200
The vertex of y=x^2−6x+8
(3,−1)
200
A rectangle has an area of 30, and its length is 2 more than its width. Find its dimensions
width = 5, length = 7
300
The highest exponent in a quadratic equation
2
300
Factor x^2+7x+12
(x+3)(x+4)
300
Solve 2x^2+3x−2=0 using the quadratic formula
x=1/2 x=-2
300
If a>0 in y=ax^2+bx+c does the parabola open up or down
up
300
A ball is thrown upward. Its height is h= −16t^2+64t+80h . Find the time it hits the ground.
t=5 seconds
400
The point where a parabola crosses the y-axis
y-intercept
400
Factor x^2−8x+15
(x−3)(x−5)
400
Solve 3x^2−2x−8=0 using the quadratic formula
x=2 or x=-4/3
400
The formula to find the x-coordinate of the vertex
x=-b/2a
400
The sum of a number and its square is 56. Find the number
7 or -8
500
The axis that divides the parabola into two symmetrical halves
axis of symmetry
500
Factor x^2-9
(x−3)(x+3)
500
Solve 2x^2+5x−12=0 using the quadratic formula
x=3/2 or x=-4
500
The axis of symmetry of y=2x^2−4x+1
x=1
500
The height of a projectile is h=−5t^2+20t+15. Find the maximum height
35 meters