Vocabulary
Characteristics (GRAPHS)
Characteristics (EQUATIONS)
AOS
Vertex
100
The middle point (x,y) of the parabola is called the...
Vertex
100
What is the vertex?
(1, 4)
100
What are the a, b, and c values of the following?
y = - x2 + 8x - 2
a = -1, b = 8, c = -2
100
Find the axis of symmetry.
y = x2 - 2x + 6
x = 1
100
Find the vertex.
y = x2 +14x + 50
(-7, 1)
200
The span of all x-values or how far the graph stretches from left to right.
Domain
200
What is the y-intercept?
(0, -5)
200
What direction will the parabola open?
y = 2x2 - 5x - 1
Up
200
Find the axis of symmetry.
y = -x2 - 4x + 10
x = -2
200
Find the vertex.
y = x2 -12x + 32
(6, -4)
300
The span of all y-values or how far the graph stretches from bottom to top.
Range
300
What are the x-intercepts?
None
300
What direction will the parabola open?
y = -5 + 3x2
Up
300
Find the axis of symmetry.
y = 5x2 - 3
x = 0
300
Find the vertex.
y = -2x2 + 5
(0, 5)
400
The half of the parabola that is going upwards from left to right is also known as _______________. It can be written as x > # or x < #.
Increasing
400
What is the end behavior of the graph?
+ oo
400
Will the parabola have a maximum or minimum value?
y = 3x2 + x - 2
Minimum
400
Find the axis of symmetry.
y = -2x2 + 20x
x = 5
400
Find the vertex.
y = 3x2 - 6x
(1, -3)
500
Where the arrows of the parabola point, so either towards positive or negative infinity. [TWO WORDS]
End Behavior
500
Where is the graph decreasing?
x < 6
500
What is the y-intercept?
y = x2 +4x - 10
(0, -10)
500
Find the axis of symmetry.
y = 4x + x2
x = -2
500
Find the vertex.
y = 5x2 + 20x + 35
(-2, 15)