Vocabulary
Every quadratic equation has a U-shaped graph called this.
What is parabola?
What are the 3 forms of a quadratic function?
Standard Form, Factored Form, Vertex Form
Name the x-intercepts.
y=2(x-2)(x+6)
(2,0) and (-6,0)
Name the vertex
y= (x-3)2+4
(3,4)
If the discriminant is equal to 0, name the type and# of solutions to the quadratic function.
1 Real Solution
1 Real Root
The highest or lowest point on a parabola.
Vertex
Identify the form of the following function.
y = 2 (x - 5)² + 6
Vertex Form
Name the x-intercepts
y= (x+5)(x-2)
(-5,0) and (2,0)
What is the Vertex?
y= (x+1)2 - 8
(-1, -8)
If the discriminant is greater than 0, name the type and # of solutions for the quadratic function.
2 Real Solutions
2 Real Roots
Identify the form of the following function.
y = 5x2 + x - 1
Standard Form
Name the x-intercepts.
y=x2 - 4
(-2,0) and (2,0)
Name the Vertex?
y= 4x2 - 8x
(1,-4)
If the discriminant is less than zero, name the type and # of solutions for a quadratic function.
No Solution
No Real Solutions/Roots
2 Imaginary Solutions/Roots
This is the number before the x2 that determines whether a parabola opens up or down.
Coefficient
Identify the form of the following function.
y = 2(x-1)(x+7)
Intercept Form
Name the x-intercepts
y= x2 - x - 2
(-1,0) and (2,0)
Name the vertex
y= x2 - 4x - 5
(2,-9)
What is the discriminant and how many solutions would this quadratic have?
4x2 + 6x - 4 = 0
Discriminant: 100
2 Real Solutions/Roots
The line that runs through the vertex and divides the parabola in half.
axis of symmetry (AOS)
Identify the form of the following function.
y = - 1/2 (x + 7)2 - 4
Vertex Form
Name the x-intercepts.
(x-1)2 -1 = 0
(0,0) and (2,0)
Name the vertex
y= 2x2 + 4x - 6
(-1,-8)
What is the discriminant and how many solutions would this quadratic have?
x2 - 6x + 9 = 0
Discriminant = 0
1 Real Solution/Root