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

The vertex form of quadratics

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 value of y -intercept of quadratics in standard form

y=c

200

Values of a to reflect 

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

The  y-value of  

y = x^2 + 2x + 1 at 

 x=-4 

y=9

300

The vertex of 

-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

Special Term of 

y=a^2 + 2ab + b^2

The perfect square trinomial

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

Special term of 

y=a^2-b^2

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

500

Does the graph of
-2(x + 5) + 2
have a minimum or a maximum?

Maximum

500

what is the solution ?

1 and 3