Quadratic Equations - Mind Map

Quadratic Equations

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Graphing

Transformations

At Least One Term With Degree 2

y= ax^2 + bx + c

C Is The Y-intercept

a > 0 The Parabola Opens Upward

a < 0 The Parabola Opens Downward

a > 1 or a < -1 The Parabola Narrows

-1 < a <1 And (a) does not = 0.The Parabola Widens

Standard Form

Vertex Form

y =a(x – h)^2 + k

Graphing

(h,k) is the vertex

k<0 Parabola Shifts Down

k>0 Parabloa Shifts Up

h>0 Parabloa Shifts Right

h<0 Parabloa Shifts Left

Solving characteristics of a parabola

Solving For Vertex

Solving For Vertex

Solving For Roots

A (X) Value

A (Y)Value

Minimum Value (k)

The Maximum Value (k)

Axis of Symmetry (h)

y=a(x – h)^2 + k

The Quadratic Formula

(a) cannot = 0

x=2b-4ac/2a

Shows Discriminant

An Imaginary Number

(a) Is The Same Value In Both Equations

Factoring

b^2-4ac

The Parfect Square

The Roots

b^2-4ac = 0 There Is 1 Real Root

b^2-4ac < 0 There Are No Real Roots

b^2-4ac > 0 There Are 2 Real Roots

Completing The Square

Converting Standard Form to Vertex Form

(b/2)^2

The Perfect Square

The (h) and (k) Values

Transformations

點擊這裡將思維導圖置中。