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Algebra 2 + Trigonometry Midterm
Chapters 6-9
20
Mathematics
10th Grade
01/20/2011

Additional Mathematics Flashcards

 


 

Cards

Term

Standard Form of :

y= -2(x-3)(x+5)

Definition

Multiply it out

y= -2x2-4x+30

Term

In Vertex Form

How do you find it's vertex and intercepts?

y= 2(x-3)2-8

Definition

Vertex: (3, -8)

Y-int: make x= 0

X-int: make y= 0

 

Term
What does it mean when a quadratic equation doesn't factor?
Definition
No nice x- intercepts.
Term
What is the quadratic formula?
Definition

-b  +/-  √b2- 4(a)(c)


2a

Term

How do you change standard form to vertex form?

y= -2x2+12x-15

Definition

1. Find the Vertex (3,3)

2. y= a (x-3)2+3

3. Find "a"

4. a= 0

y=(x-3)2+3

Term
When I square root both sides of an equation, I won't forget.....
Definition
positives and Negatives!
Term

Whats the name of each parabola form below?

1. y= ax2+bx+c

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

3. y= a(x-m)(x-n)

Definition

1. standard

2. vertex

3. factored

Term

Describe the significance of each pink part of the equation

 

y= 3(x+5)2-7

Definition

y= 3(x+5)2-7

3= steep

5= left 5

-7= down 7

Term

Quadratic Equation:

 

 

discriminant < 0

 

Definition

no x- int 

(2 imaginary solutions)

Term

Quadratic Equation:

 

 

discriminant= 0

Definition

 

1 solution

Term

Quadratic equation:

 

discriminant>0

Definition

 

 

2 solutions

Term
What is "i"
Definition
√-1
Term
What is i2
Definition
-1
Term

Simplify:

 

3i(2i-5)

Definition
-6-15i
Term

Simplify:

 

√-49

Definition

 

7i

Term

Simplify:

 

(2i-3)2

Definition

 

5-12i

Term

Simplify:

 

√150

Definition

 

5√6

Term

 

How would you find the vertex of:

y= ax2+bx+c

Definition
-b/2a
Term

 

y- intercept of:

ax2+bx+c

Definition

 

make x=0

y-int is "c"

Term

Whats the x-intercept of

 

ax2+bx+c?

Definition

 

make y= 0

 

or factor or use the quadratic formula

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