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Lines in Motion

100

How does y=f(x)-5 translate y=f(x)?

Down 5

200

What is y=(x)+5 left 3?

y=(x-3)+5

300

How does y=f(x-3)+10 affect y=f(x)?

Left 3, up 10

400

What is the line y=-x translated down 4 and left 6?

y=(-x-6)-4

500

What is y=f(x-4)-5 if y=f(x)+2

Left 4, down 7

Completing the Square

100

x²-2x-15=0

x=5

x=3

200

12x²+25x+7=0

x=-7/4

x=-1/3

300

3x²+8x+5=0

x=-5/3

x=-1

400

9x² - 15x + 6 = 0

x = 2/3              x = 1

500

Solve the quadratic equation by completing the square                                                                     x² - 4x = 5

x = -1             x = 5

System of Equations

100

  Solve using substitution            x + 2y = 5     y = x + 1

      x = 1                   y = 2

200

Solve using elimination              -x - 3y = -5           x + 2y = 10

          x = 1           y = 4

300

Solve using elimination 

8x - 4y = 36       3x + 4y = -14

            x = 2          y = -5

400

Solve using elimination                                   2x+5y+2z=−38              3x−2y+4z=17                −6x+y−7z=−12

x = 3                  y = -8                  z = -2

500

Solve using elimination                                      3x−9z=33       7x−4y−z=−15              4x+6y+5z=−6

x = -1          y = 3          z = -4