Level One
This part of a quadratic equation is squared.
What is the variable?
In the quadratic equation x2+6x+9=0, this is the value of b.
What is 6?
Solve by factoring:
x2−7x+12=0
What is x=3 or x=4?
A quadratic with a discriminant less than zero has these kinds of solutions.
What are imaginary or complex solutions?
Solve completely:
3x2−12x+9=0
What is x=1 or x=3?
solve: x2=25
Answer: What is x=5x = 5x=5 or x=−5x = -5x=−5?
Factor:
x2+5x+6
What is (x+2)(x+3)?
y=x2−6x+5
What is x=3?
y=x2−4x+1
What is (2,−3)?
Find the discriminant of:
5x2+2x−3=0
What is 64?
This is the standard form of a quadratic equation.
What is ax2+bx+c=0
Solve:
x2−4x=0
What is x=0 or x=4?
This method changes a quadratic into vertex form.
What is completing the square?
The roots of
x2−2x+10=0 are these values.
What is x=1±3i
y=−2(x−1)2+8
has this vertex.
What is (1,8)?
The graph of a quadratic equation is called this.
What is a parabola?
This point is the highest or lowest point on a parabola.
What is the vertex?
Solve using the quadratic formula:
x2+2x−8=0
What is x=2 or x=−4?
2x2−8x+6=0
What is x=1 or x=3?
Solve by completing the square: x2+10x+7=0
What is x=−5±3 square root 2
solve: x2−9=0
What is x=3x = 3x=3 or x=−3x = -3x=−3?
The parabola y=x2 opens in this direction.
What is upward?
The discriminant of
x2+4x+4=0
is this number.
What is 0?
y=x2+6x+5
What is y=(x+3)2−4?
A ball’s height is modeled by
h(t)=−16t2+64t+80
What is t=2t=2t=2 seconds?