Uploaded on

 

  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Be the first to comment
    Be the first to like this
No Downloads

Views

Total Views
310
On Slideshare
0
From Embeds
0
Number of Embeds
0

Actions

Shares
Downloads
0
Comments
0
Likes
0

Embeds 0

No embeds

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
    No notes for slide

Transcript

  • 1. Transforming Graphs
    Year 12 Mathematical Methods
    Sam Roberts
  • 2. Graphing transformations of the graph of f(x)=logax
    Dilation on the x-axis is shown by the number at the front of the equation. E.g. f(x)=3loga x
    Dilation on the y-axis is shown by the number in front of the pronumeral. E.g. f(x0=loga 2x
  • 3. Graphing transformations of the graph of f(x)=logax
    Translations on the x-axis is shown by the number added or subtracted to x. E.g. f(x)=loga (x-5)
    Translation on the y-axis is shown by the number at the end of the equation. E.g. f(x0=loga x +5
  • 4. Graphing transformations of the graph of f(x)=logax
    Reflection on the x-axis is shown by the symbol at the front of the equation. E.g.
    f(x)=-loga x
    Reflection on the y-axis is shown by dividing the equation to 1. E.g. f(x)= 1 _loga x
  • 5. Graphing circular function transformations
  • 6. Finding the degrees when the result is in radians. Vice Versa.
    Eg3π x 180 = 540 = 135°
    4 π 4
    Eg 30° x π = 30π = π
    180 180 6
  • 7. Exact Values Triangles
  • 8. Finding axis intercepts
    Let y = 0 to find x intercepts
  • 9. Finding the inverse of log equations
    Sub x as y to find the inverse
    Logaaˣ=x for all x Є R
    logax
    a =x for x Є R
  • 10. Finding a rule for f∘g(x)
    Sub the equation of g(x) where the x in f(x) equation
    Eg. g(x)=ǀxǀ and f(x)
    f∘g(x)=sin(ǀxǀ)