Chapter 4.1-4.5 And 9.2

Question 1

What does an equation is standard form look like?

Answer 1

ax^2+bx+c

Question 2

What does an equation is standard form tell you?

Answer 2

The Y-intercept

Question 3

What does an equation is factored form look like?

Answer 3

y=(x+d)(x+e)

Question 4

What does an equation in factored form tell you?

Answer 4

The x-intercepts

Question 5

What does an equation is vertex form look like?

Answer 5

y=(x+z)^2+f

Question 6

What does vertex form of an equation tell you?

Answer 6

The vertex
e.g. (x+5)-6
The vertex would be (-5,-6)

Question 7

How can you find the x-intercepts of and equation in factored form?

Answer 7

Plug in zero for y

Question 8

What is the quadratic formula?

Answer 8

x=-b+or-the square root of b^2-4ac all over 2a

Question 9

What do you do to b when completing the square?

Answer 9

(b/2)^2

Question 10

How do you convert from standard form to factored form?

Answer 10

You factor

Question 11

How do you convert from factored form to standard form?

Answer 11

You F.O.I.L

Question 12

How do you convert from vertex form to standard form?

Answer 12

You multiply it out and simplify
e.g. 
y=(x+1)^2-4
y=(x+1) (x+1)-4
y=x^2+x+x+1-4
y=x^2+2x-3

Question 13

What shape do quadratic equations make when factored?

Answer 13

A parabola

Question 14

What does it mean when a system is inconsistent?

Answer 14

The two lines parallel and there is no solution

Question 15

What does it mean when a system is dependent?

Answer 15

The equations make the same line and there are infinite solutions

Question 16

When complicating the square, the discriminant is

Answer 16

The factor getting square rooted 
e.g. 
6+or-the square root is -96
\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_
                     6

-96 is the discriminant

Question 17

What is the pattern for i’s?

Answer 17

i=i
i^2=-1
i ^3=-i
i^4=1

Question 18

If a problem WHATS you to minimize or maximize something in a quadratic equation, what must you do?

Answer 18

Put the equation in vertex form

Question 19

How do you convert from standard form to vertex form?

Answer 19

Complete the square