Vocabulary
Zeros
Vertex
Writing Quadratic Equations
Discriminant
100
It's the point in the middle of a parabola.
What is the Vertex?
100
x2+6x+8=0
x=−2 or x=−4
100
What is the vertex of the quadratic function below? 
(4, -2)
100
Write the quadratic function with roots 2, and 5.
x^2-7x+10
100
How many roots does this quadratic have?
2x^2-4x+1
2 real roots
200
The method used to solve for the x-intercepts of a quadratic.
What is factoring?
200
(x+7)^2-100=0
x=3 or x=−17
200
What is the vertex?
(x+3)^2-8=0
(-3, -8)
200
Write the quadratic function with a vertex of (-5, 4)
(x+5)^2+4
200
How many real solutions will the quadratic
-(x+2)^2-20
have?
No real solutions
300
This is the line that splits a quadratic in half.
What is axis of symmetry?
300
3x2 = −4 + 8x
x=2/3 or x=2
300
Write the following quadratic in vertex form
x^2-8x+1=0
(x-4)^2-15
300
Write the quadratic function with a y-intercept of (0, 5) and vertex (1, 7).
-2(x-1)^2+7
300
Daily Double
What values of k will the quadratic have one real root.
2x^2+kx+1=0
k=+-sqrt(8) or +-2sqrt(2)
400
Another term for the x-intercepts of a quadratic.
What are the zeros or roots?
400
Daily Double
Solve for x
8x2 + 16x = 42
{ 3/2 , − 7/2}
400
Write the following quadratic in vertex form.
(x-7)(x+3)
(x-2)^2-25
400
Write the quadratic function with roots -3 and 5 and through the point (2, 45)
-3x^2+6x+45
400
Find the range of values for k in order for the equation to have two real solutions
2x^2+(3-k)x+k+3
k<-1 or k>15
500
This is the part of the quadratic formula that tells me how many roots the quadratic will have.
What is the Discriminant?
500
r2− 4r − 91 = 7
r=2+√102 or r=2−√102
500
Write the following quadratic in vertex form
3x^2-6x+12
3(x-1)^2+9
500
Write the quadratic equation that has an axis of symmetry of x = 5, roots 3 and 7, and through the point (1, 24)
2(x-5)^2-8
2x^2-20x+42
500
What values of k will the quadratic equation have no real solutions?
(k-1)x^2+2x+(2k-3)=0
k<1/2 or k>2