228k views
0 votes
CAN SOMEONE PLEASE TELL ME WHAT THESE THREE DO/WHAT THEY MEAN? Please help I really don’t get it.

CAN SOMEONE PLEASE TELL ME WHAT THESE THREE DO/WHAT THEY MEAN? Please help I really-example-1
User Ffarquet
by
7.8k points

1 Answer

4 votes
lemme post a quick template of some help


\bf ~~~~~~~~~~~~\textit{function transformations} \\\\\\ % templates f(x)= A( Bx+ C)+ D \\\\ ~~~~y= A( Bx+ C)+ D \\\\ f(x)= A√( Bx+ C)+ D \\\\ f(x)= A(\mathbb{R})^( Bx+ C)+ D \\\\ f(x)= A sin\left( B x+ C \right)+ D \\\\ --------------------


\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}


\bf ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }( C)/( B)\\ ~~~~~~if\ ( C)/( B)\textit{ is negative, to the right}\\\\ ~~~~~~if\ ( C)/( B)\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }(2\pi )/( B)



so f(x) - k, is simply appending a constant "k", and thus is a vertical shift by k units.

f(x+h) is changing whatever "x" was to "x+h", and therefore is shifting the function to the left by h units.

f(x-h), is about the same as before, but is doing a horizontal shift to the right by h units.
User Rmaddy
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories