Parts of Quadratics
Vertex
Vocabulary
Misc
Transformations
100
What is it called where the graph crosses the x axis?
x - intercept or roots or zeros
100
What is the k from this vertex (1,2)?
2
100
A u-shaped graph
Parabola
100
When the vertex is the highest point of a parabola, what is it called?
What is maximum
100
When a is negative, what happens to the parabola?
What is Reflected?
200
What A.O.S means?
Axis of Symmetry
200
Find the axis of symmetry of (4, -8)
x = 4
200
The highest or lowest point of the parabola is called..
Vertex
200
When the vertex is the lowest point of the parabola, what is it called?
What is minimum
200
When given a>1 what happens to the shape of the graph?
Becomes narrower
300
When the graph goes down a is?
Negative
300
What is the vertex? Max or Min
U
Min
300
What is A in this equation? -x^2+15x-7
What is -1
300
How do you know when the parabola opens up or down?
What is A is positive or negative
300
What is the transformation?
y=(x+2)2
Moves left 2
400
What is the hihgest or lowest point on the parabola .?
What is Vertex
400
Is the vertex the minimum or the maximum?
n
Max
400
Equation for Vertex Form
y = a(x-h)^2+k
400
Equation for quadratic's parent function?
What is y=x^2
400
What is the transformation?
y=1/2x2-6
Gets Wider
Moves down 6
500
Which has the widest & most narrow graph?
I: f(x) = 3x^2-8
II: f(x) = (1/9)x^2-6
III: f(x) = (8/3)x^2-12
IV: f(x) = 7x^2-17
What is II & IV
500
What is the vertex of this equation?
y= (x+2)2-8
(-2,-8)
500
Vertical line at the center of the parabola.
Axis of Symmetry
500
What are three types of discriminant?
Positive, Negative, & Zero
500
y = 3(x-2)2 -1
Identify the transformations:
(Reflect/Shift left-right/ up-down)
3 ->
-2 ->
-1 ->
What is
3 -> Vertical stretch 3
-2 -> Move to the right 2
-1 -> Move down 1