Math

Transformations

100

Describe the transformation:

f(x) = -x²-6

Flips over x axis, Down 6

200

Describe the transformation:

f(x) = (x+6)²-9

Left by 6, Down by 9

300

Describe the transformation:

f(x) = -(x+12)³+8

Up by 8, Flips over x axis, Left 8

400

Describe the transformation:

f(x) = -4|x-9|+4

Stretching by 4, Shift right by 9, Up by 4

500

Describe the transformation:

f(x)= -6|x-8|+7

Flips over x axis, Stretching by 6, Up 7, Shift left by 8

Complex Number Operations

100

Simplify the expression:

i⁵

i

200

Simplify the expression:

7(-1-6i)

-7-42i

300

Simplify the expression:

(1+6i) + (-3+i)

-2+7i

400

Simplify the expression:

(4-3i) - (8+2i)

-4-5i

500

Simplify the expression:

(4-3i)(-4+5i)

53i-26

Vocabulary

100

Give the definition:

Increase

Goes upward (Positive)

200

Give the definition:

Decrease

Goes downward (Negative)

300

Give the definition:

Absolute Max/Min

None higher/None lower

400

Give the definition:

Relative extrema

Local max/min (Turning point)

500

Give the definition:

Ends

Direction graph goes left/right, up/down

Solving absolute Value

100

Solve the absolute value equation:

|-1| 

1

200

Solve the absolute value equation:

|-9| = x

x=9

300

Solve the absolute value equation:

|m+4| = 9

m=5

m=-13

400

Solve the absolute value equation:

|3x-7| = 23

x=10

x=5.333

500

Solve the absolute value equation:

|4x+3+8+2x|

x= .5

x=3.17

Polynomial operations

100

Simplify the polynomial operation:

(x-5)(x+7)

x²+2x-35

200

Simplify the polynomial operation:

(12x²+5x-7) + (-2x²-6x+10)

10x²-x+3

300

Simplify the polynomial operation:

5(x+6)²

10x+60

400

Simplify the polynomial operation:

(6x²-x+3)(x³+8x-2)

6x⁵-x⁴+51x³-20x²+26x-6

500

Simplify the polynomial operations:

(5x+9)(x-3)(12x+2)(x+13)

60x⁴+718x³-1142x²-4422x-702