Transformations
Describe the transformation:
f(x) = -x2-6
Flips over x axis, Down 6
Simplify the expression:
i5
i
Give the definition:
Increase
Goes upward (Positive)
Solve the absolute value equation:
|-1|
1
Simplify the polynomial operation:
(x-5)(x+7)
x2+2x-35
Describe the transformation:
f(x) = (x+6)2-9
Left by 6, Down by 9
Simplify the expression:
7(-1-6i)
-7-42i
Give the definition:
Decrease
Goes downward (Negative)
Solve the absolute value equation:
|-9| = x
x=9
Simplify the polynomial operation:
(12x2+5x-7) + (-2x2-6x+10)
10x2-x+3
Describe the transformation:
f(x) = -(x+12)3+8
Up by 8, Flips over x axis, Left 8
Simplify the expression:
(1+6i) + (-3+i)
-2+7i
Give the definition:
Absolute Max/Min
None higher/None lower
Solve the absolute value equation:
|m+4| = 9
m=5
m=-13
Simplify the polynomial operation:
5(x+6)2
10x+60
Describe the transformation:
f(x) = -4|x-9|+4
Stretching by 4, Shift right by 9, Up by 4
Simplify the expression:
(4-3i) - (8+2i)
-4-5i
Give the definition:
Relative extrema
Local max/min (Turning point)
Solve the absolute value equation:
|3x-7| = 23
x=10
x=5.333
Simplify the polynomial operation:
(6x2-x+3)(x3+8x-2)
6x5-x4+51x3-20x2+26x-6
Describe the transformation:
f(x)= -6|x-8|+7
Flips over x axis, Stretching by 6, Up 7, Shift left by 8
Simplify the expression:
(4-3i)(-4+5i)
53i-26
Give the definition:
Ends
Direction graph goes left/right, up/down
Solve the absolute value equation:
|4x+3+8+2x|
x= .5
x=3.17
Simplify the polynomial operations:
(5x+9)(x-3)(12x+2)(x+13)
60x4+718x3-1142x2-4422x-702