Quadratics in Standard Form
Quadratics in Vertex Form
Quadratics in Factored Form
Conversions
Graph
100
The standard form of quadratics
y=ax^2+bx+c
100
Write the formula for the vertex form of a quadratic equation
y = a(x - h)2 + k
100
The factored form of quadratics
y=a(x-r)(x-s)
100
The process to convert quadratics in standard form to quadratics in vertex form
completing the square
100
What is the vertex ?
(3,-1)
200
The variable of y -intercept of quadratics in standard form. y = ___
y=c
200
What are the values of a to reflect across the x axis
y = a (x - h)^2 + k
a < 0
200
The factored form of
x^2-6x+8
(x-2)(x-4)
200
What is the vertex of the equation
y= (x-12)2+7 ?
(12, 7)
200
Quadratic equations take the shape of a what when graphed.
u
300
Find the y-value of
y = x^2 + 2x + 1 at
x=-4
y=9
300
Find the vertex
-2 (x + 4)^2 + 2
(-4,2)
300
Formula to find x -value from the factored form
y=(x-r)(x-s)
x_{\text{vertex}} = \frac{r + s}{2}
300
When x2 is changed to x2 -3, the graph
Shifts down 3 units.
300
How many solutions does this graph have?
No solution
400
Use Foil method or y = a2 + 2ab + b2 to multiply the perfect square (x + 3)2
What is....
x2 + 6x + 9 ?
400
The y -intercept of
y = 2(x + 3)^2 - 8
y=10
400
The equation an which the quadratic reflects its self?
Axis of symmetry
400
A parabola has a vertex at (-3,2). Where is the axis of symmetry?
x = -3
400
Name the zero ?
0 and 4
500
What is the Special term we give the following equations
a2 - b2
Difference of squares
500
Transformation(s) of
-4 (x + 6)^2 - 4
1. vertical stretch by a factor of 4
2. vertical shift 4 units down
3. horizontal shift 6 units left
4. vertical reflection (flipped upside down)
500
How does the value for "h" transform a graph?
Horizontal Shift left or right
500
Does the graph of
-2(x + 5) + 2
have a minimum or a maximum?
Maximum
500
what is the solution ?
1 and 3