Vocabulary
Axis of Symmetry (AOS)
Characteristics
Vertex
Transformations
100
The shape of a quadratic function is called this
What is a Parabola?
100
What is the axis of symmetry for the following graph?
x = 2
100
What is the end behavior of the following graph?
As x --> infinity, y --> ?
As x --> -infinity, y --> ?
As x --> infinity, y --> INFINITY
As x --> -infinity, y --> INFINITY
100
If you know the vertex of a parabola, you also know the what?
axis of symmetry and min or max
100
Name the transformation:
f(x) = 3x2
What is a STRETCH?
200
The line that cuts a parabola in half
What is the axis of symmetry?
200
What is the AOS for the following graph?
x = -5
200
What is/are the solution(s) for the following graph?
x = -2
x = -4
200
What is the vertex for the following graph?
(1, 2)
200
Name the transformation:
f(x) = -x2
What is a REFLECTION?
300
The turning point on a quadratic function.
What is a vertex?
300
What is the axis of symmetry for f(x) = (x - 7)2 + 2
x = 7
300
What is the min/max of the quadratic?
Maximum: y = 2
300
What is the vertex for the following graph?
(0, 0)
300
What does the transformation cause the function to do?
f(x) = (x - 2)2
What is a HORIZONTAL SHIFT RIGHT 2?
400
What type of function has a change in the change?
A quadratic function
400
What is the axis of symmetry for f(x) = x2 - 8x + 20
x = 4
400
Is the following quadratic function concave up or concave down?
What is concave down?
400
What is the vertex of f(x) = -3(x - 2)2
(2,0)
400
List the transformations:
f(x) = -(x + 1)2 - 3
Reflection
Horizontal shift left 1
Vertical shift down 3
500
What are two other names for the x-intercepts on a quadratic function?
roots
zeros
solutions
500
What is the axis of symmetry for f(x) = 2x2 - 12x + 1
x = 3
500
What is the interval of increase for the following graph?
(-3, infinity)
500
What is the vertex for the function f(x) = x2 + 2x -3
(-1, -4)
500
Given the parent function: y = 4x2, re-write the function with a vertical shift down 2.
y = 4x2 - 2