Algebra 2

Question 1

Quadratic vertex form equation

Answer 1

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

Question 2

Quadratic vertex form AOS

Answer 2

x=h

Question 3

Quadratic vertex form Vertex

Answer 3

(h, k)

Question 4

Quadratic vertex form Y-int.

Answer 4

(0, plug in 0 and work out)

Question 5

Quadratic standard form AOS

Answer 5

x= -b/2a

Question 6

Quadratic standard form Vertex

Answer 6

(AOS, plug in AOS to equation and solve)

Question 7

Quadratic standard form Y-int.

Answer 7

(0, C)

Question 8

Quadratic standard form equation

Answer 8

y= ax^2+bx+c

Question 9

Quadratic intercept form equation

Answer 9

y= a(x-p)(x-q)

Question 10

Quadratic intercept form AOS

Answer 10

x= p+q/2

Question 11

Quadratic intercept form Vertex

Answer 11

(AOS, plug in AOS to equation and solve)

Question 12

Quadratic intercept form Y-int

Answer 12

(0, plug in 0 to equation and solve)

Question 13

Quadratic intercept form X-ints.

Answer 13

(p,0)(q,0)

Question 14

When both arrows point to Infinity

Answer 14

f(x)= AnX^even +….

Question 15

When both arrows point to Negative Infinity

Answer 15

f(x)= -AnX^even +….

Question 16

When Right arrow points Down and Left points Up

Answer 16

f(x)= AnX^odd +….

Question 17

When Right arrow points Up and Left points Down

Answer 17

f(x)= -AnX^odd +….

Question 18

limit notation

Answer 18

limf(x)= +/- infinity
x –> infinity
(RIGHT)

limf(x) = +/- infinity
x –> negative infinity
(LEFT)

Question 19

Finding possible roots

Answer 19

Leading coefficient factors

Question 20

Finding if roots are a solution

Answer 20

coefficients
(Root)
—————————————

bring down first coefficient under line then bring it above line and add with second coefficient. Bring that number down under line and multiply by root. Bring the multiplied number above line to add to next coefficient.
It is a solution if there is no remainder at the end.

Question 21

Rational root theorem

Answer 21

(x-[root found as a solution]) (numbers under line as coefficients for the x’s)
note: x’s exponent gets a minus one.
Continue to simplify down and solve for x=

1 3 -4 -12 0
(x-[root])(x^3+3x^2-4x-12)

Question 22

Reverse Rational Root Theorem

Answer 22

take x=numbers and plug into (x-__). fractions get toppled left. Ex: 1/3=(3x-1)
Multiply gogether to get the final equation.