1.3 Transformations of Lines Flashcards

1
Q

Horizontal Translation

A

Right Trans: f(x-h)

Left Trans: f(x+h)

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2
Q

Reflection: X-axis

A

f(x) times -1

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3
Q

Reflection: y-axis

A

f(-x)

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4
Q

Vertical Stretch

A

a times f(x)

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5
Q

Vertical Compression

A

a times f(x)

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6
Q

Horizontal Stretch

A

f (1/b x)

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7
Q

Horizontal Shrink

A

f(1/b x)

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8
Q

Vertical Translate

A

f(x)+k

f(x)-k

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9
Q

Standard Form

A

ax^2+bx+c

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10
Q

Vertex Form

A

a(x-h)^2 +k

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11
Q

Axis of symemetry equation

A

-b/2a

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12
Q

complete square

A

(b/2)^2

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13
Q

axis of symmetry equation

A

-b/2a

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14
Q

standard form

A

ax^2 +bx+ c

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15
Q

Constant Parent Function

A

f(x)= c

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16
Q

Linear parent function

A

f(x)= x

17
Q

Quadratic Parent Function

A

f(x)=x^2

18
Q

Cubic Parent Function

A

f(x)=x^3

19
Q

Square root

A

f(x)= square root of x

20
Q

Correlation Coefficient

A
-measures strength of correlation
greater or equal to -1, less than or equal to 1
-1= perfect negative correlation
1= perfect positive correlation
0= no correlation
21
Q

Quadratic Equation

A

-b (plus or minus) square root b^2 -4ac / 2a

22
Q

Completing the square

A

(b/2)^2

23
Q

Interval Notation

A

sets of numbers

24
Q

Set notation

A

1 is greater than x is less than 3

25
Q

Discriminant

A

b^2-4ac

  • negative= 2 imaginary solutions (no x intercepts)
  • Positive= 2 real solutions
  • 0 = 1 real solution
26
Q

Difference of cubes

A

A^3 -b^3= (a-b) (a^2+ab+b^2)

27
Q

Sum of cubes

A

A^3-b^3 = (a+b) (a^2-ab+b^3)