Vocabulary
Every quadratic equation has a U-shaped graph called this.
What is parabola?
x2 - 3x + 1 = 0
What is standard form?
Name the x-intercepts.
y=2(x-2)(x+6)
What is (2,0) and (-6,0)?
Name the vertex y= (x-3)2 +4
What is (3,4)?
Give the DOMAIN, RANGE & VERTEX for the following equation:
y=(x-5)(x-1)
Domain: (-oo, +oo)
Range: [-4,+oo)
Vertex: (3,-4)
The highest or lowest point on a parabola.
What is the vertex?
y = 2 (x - 5)² + 6
What is Vertex form?
Name the x-intercepts
y=(x)(x-2)
What is (0,0) and (2,0)?
y= (x+1)2 - 8
What is (-1, -8)?
Give the Domain, Range, and Vertex
y = x2-4x+4
Domain (-oo,+oo)
Range: [0,+oo)
Vertex: (2,0)
When a quadratic equation is written in this form y = ax2 +bx + c
What is the standard form?
5x2 + x - 1 = 0
What is standard form?
Name the x-intercepts.
y=x2 - 4
What is (-2,0) and (2,0)?
y=(x+4)(x-4)
What is (0,-16)?
Give Domain, Range, & Vertex:
y=(x+1)2 - 2
Domain (-oo,+oo)
Range [-2,+oo)
Vertex (-1,-2)
This is the number before the x2 ("a")that determines whether a parabola opens up or down.
What is the leading coefficient?
y = 2(x-1)(x+7)
What is intercept form?
Name the x-intercepts
y=x2 - x - 2
What is (-1,0) and (2,0)?
Name the vertex x2 - 4x - 5 = 0
What is (2,-9)?
Give Domain, Range, & Vertex:
y=(x-4)2 + 3
Domain: (-oo,+oo)
Range: [3,+oo)
Vertex: (4,3)
The line that runs through the vertex and divides the parabola in half.
What is axis of symmetry?
y = - 1/2 (x + 7) - 4
What is vertex form?
Name the vertex 2x2 + 4x - 6 = 0?
What is (-1,-8)?
DOUBLE POINTS:
Give Domain, Range, Vertex, & Solutions
(x-5)2 - 9=0
Domain: (-oo,+oo)
Range: [9,+oo)
Vertex: (5,9)
Solutions: (8,0) & (2,0)