Quadratics

Quadratics in Standard Form

100

The standard form of quadratics

y=ax^2+bx+c

200

The value of y -intercept of quadratics in standard form

c

300

The  y-value of  

y = x^2 + 2x + 1 at 

 x=-4 

y=9

400

What is the y-intercept of the following function 

y=3x²+4x-6

y=-6

or (0,-6)

500

Describe all transformations

y=-a(x+6)^2+4

reflects 

translates left 6

up 4

Quadratics in Vertex Form

100

The vertex form of quadratics

y=a(x-h)^2+k

200

Values of a to reflect 

y = a (x - h)^2 + k

a < 0

300

The vertex of 

-2 (x + 4)^2 + 2

(-4,2)

400

The  y -intercept of 

y = 2(x+3)^2 - 8

y=10

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)

Quadratics in Factored Form

100

The factored form of quadratics

y=a(x-r)(x-s)

200

The factored form of

x^2-6x+8

(x-2)(x-4)

300

Find the axis of symmetry 

y=3x²+12x-4

x=2

400

The equation an which the quadratic reflects its self?  

Axis of symmetry 

500

How does the value for "h" transform a graph?

Horizontal Shift

Characteristics

100

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

Maximum

200

What is the vertex of the equation
y= (x-12)2+7 ? 

(12, 7)

300

When x2 is changed to x2 -3, the graph 

Shifts down 3 units.

400

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

x = -3

500

Explain how the a value changes the graph 

widen/narrow 

flip 

Graph

100

What is the vertex ? 

(3,-1)

200

Quadratic equations take the shape of a what when graphed.

u

300

How many solutions does this graph have?

No solution

400

Name the zero ?

0 and 4 

500

what is the solution ?

1 and 3