i dont understand the transformation of a graph horizontal and vertical stretches and compressions

Algebra
Tutor: None Selected Time limit: 1 Day

i dont understand the transformation of a graph horizontal and vertical stretches and compressions

Sep 30th, 2015

Thank you for the opportunity to help you with your question!

you will first have a function, y=f(x)+c. you need to transform so that you can have another function. you move a function up by adding a constant to y-value

we move a function right or left by adding a constant to x-value

you can compress to y by multiplying. the whole function by a constant

and you can also compress it to x direction by multiplying x when it appears by a constant.

y = f(x) + C
  • C > 0 moves it up
  • C < 0 moves it down
y = f(x + C)
  • C > 0 moves it left
  • C < 0 moves it right
y = C·f(x)
  • C > 1 stretches it in the y-direction
  • 0 < C < 1 compresses it
y = f(Cx)
  • C > 1 compresses it in the x-direction
  • 0 < C < 1 stretches it
y = -f(x)
  • Reflects it about x-axis
y = f(-x)
  • Reflects it about y-axis

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 1st, 2015

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