Unit 1-4 Flashcards

1
Q

Correlation Coefficient

A

-1,+1,0; how strong a relationship between two variables is

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2
Q

Horizontla translations

A

-Inside and opposite

Ex; f(x+4); left 4

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3
Q

What is the Reflection across x axis

A
  • Takes y values and flips it
  • Outside the absolute value/paranetheses bars

Ex: -|x|

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4
Q

What is the reflection across the y-axis

A
  • takes x values and flips it
  • Inside f(x)/ f|x|

Ex; _(-x)2

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5
Q

Vertical Translations

A
  • outside f(x)
  • exact

Ex; f(x)-4; 4

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6
Q

Stretch across the x-axis/ Horizontal stretch

A
  • Inside f(x)
  • Opposite
  • a<1

Ex; |5x|; horizontal stretch 1/5

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7
Q

Stretch across the y-axis/ Vertical stretch

A
  • Outside f(x)
  • Exact
  • a>1
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8
Q

Shrink across the x-axis/ Horizontal shrink

A
  • Inside f(x)
  • Opposite
  • a>1

Ex; |1/5x|; horizontal shrink 5

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9
Q

Shrink across the y-axis/ Verical shrink

A
  • Outside f(x)
  • Exact
  • a<1
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10
Q
A
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11
Q

Ways to solve quadratic

A

Square roots, factoring, Solving by the comp;eting of square, Vertex form

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12
Q

i2 is equal to….

A

-1

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13
Q

When multiplying square roots what is the first thing you look for and do…

A

Simplifying them

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14
Q

What helps with solving square roots?

A

factoring tree

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15
Q

How to distinguid what type of polynomial?

A

Look at the largest degree (n)

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16
Q

What caluclator function makes finding f(x) easier?

A

Crtl =

17
Q

What is an end behavior?

A

How does the end arrows of a grpah look like

18
Q

What determines the ned behavior?

A

Degree and sign of the leading coefficient

19
Q

What makes a plolynomail?

A
  • monomial/sum of monomials
    -exponents are whole #’s not negative or 7/x
20
Q

Solving 2 by 2’s steps…

A
  1. Eliminate a variable by using 1 & 2
    - then use 2&3
  2. then solve the newly 2 by 2’s
  3. to find out the variable that is left to be solved, plug the variables found in the 2 by 2, in the og equation
21
Q

Factorings, types

A
  1. GCF/ GMF
  2. (x2 + bx +c)
  3. DOS… DOC’s
  4. Factor by Grouping
22
Q

DOC’s

A

Difference of cubics

23
Q

DOC ‘s

A

Difference of squares

24
Q

Finding the vertex in intercept form..

A
  • The formula that gives x-intercepts,
  • Find the vertex by x=p+q/2
25
Q

Finding the vertex in standard form…

A

-b/2a

26
Q

Intercept form

A

a(x-p)(x-q)

27
Q

Standard from

A

y=ax2 +bx +c

28
Q

Vertex form

A

a(x-h)2 +k
- where (h,k) is the vertex

29
Q

Finding the vertex in intercept form…

A

p+q/2

30
Q

Multiplying Polynomials

A

Can use pascal triangle

31
Q

Dividing Polynomials

A

Synthetic division or Long division