Factoring
Equivalent Expression
Standard to Vertex form
Shifting Parabolas
Random Algebra
100

n2 + 8n = −15

{−5, −3}

100

Write an Equivalent Expression that reveals all zeros to the following:

-x2-8x-12

-(x+6)(x+2)

100

What am I in vertex form?

y = x2 + 16x + 71


y=(x+8)2+7

100

Write the equation of the parabola that shifts right 2 and up 2

(x-2)2+2

100

What test can you use to determine if something is a function?

Vertical Line test

200

x2-5x+6=2

x= 4 and 1 

200

Write an Equivalent Expression that reveals all zeros to the following:

-x2-6x+16

-(x+8)(x-2)

200

What am I in vertex form?

y= 2x2+36x +170

y= 2(x+9)2 + 8

200

Write the equation of the parabola that shifts left 4 and down 6

(x+4)2-6

200

A function f(x) is defined as f(x)= x^2 +x -6.

Determine:

  • the x-intercepts
  • the y-intercept

x ints=-3 and 2 
y int = -6

300

b2+ 5b − 35 = 3b

{−7, 5}

300

Write an Equivalent Expression that reveals all zeros to the following:

-2x2+12x-10

-2(d-1)(d-5)

300

What am I in vertex form?

y= x-12x + 46

y= (x-3) + 10

300

Write the equation of the parabola that reflects over the x-axis and shifts right 3.

-(x-3)2

300

Solve the following system of equations to solve for x and y.

-4x-2y=-12

4x+8y=-24

x=6, y=-6

400

2(x2+6x-4)=2(x+10)

(x=-7) (x=2)

400

Write and Equivalent Expression that reveals all zeros to the following:

(x-3)2+x-23

x(x-7)(x+2)


400

What am I in Vertex Form

y= x2+4x

y=(x+2)- 4

400

Write in words where the parabola shifts: 

f(x)=(x-2)2+1 

Right 2 and up 1

400

The area of a vegetable garden can be modeled by the equation f(x)= -3x+ 48x Using the x intercepts, what is the possible domain of the garden?

x is greater than or equal to 0 

x is less than or equal to 16

500

6(x2+5x-35)=6(3x)

x=-7 and 5

500

Write an Equivalent Expression that reveals all zeros to the following:

-12x2-11x+15

(-4x+3)(3x+5)

500

What am I in vertex form?

0= 6x+12x +y +13

y=-6(x+1)2-7

500

The graph of the function: h(x) is the result of reflecting the graph of f(x) over the x-axis and then translating up 3 units. Write the equation.

h(x)= -x2+3

500

Factor the following to reveal all zeros:

 3x3 - x2y +6x2y - 2xy2 + 3xy2 - y3


(3x - y)(x + y) (x + y)