Question
Show that a horizontal translation of the graph of a quadratic function is the composition of the quadratic function and a linear function．
Your feedback will help us improve your experience
Vicki Stebbins and 80 other educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Recommended Videos
Functions other than parabolas can be translated. When calculating $f(x),$ if we replace $x$ with $x-h,$ where $h$ is a constant, the graph will be moved horizontally. If we replace $f(x)$ with $f(x)+k,$ the graph will be moved vertically. Use the graph below. (GRAPH CANT COPY) Draw a graph of each of the following. $$ y=f(x)+2 $$
Quadratic Functions and Equations
Quadratic Functions and Their Graphs
Functions other than parabolas can be translated. When calculating $f(x),$ if we replace $x$ with $x-h,$ where $h$ is a constant, the graph will be moved horizontally. If we replace $f(x)$ with $f(x)+k,$ the graph will be moved vertically. Use the graph below. (GRAPH CANT COPY) Draw a graph of each of the following. $$ y=f(x+2) $$
Functions other than parabolas can be translated. When calculating $f(x),$ if we replace $x$ with $x-h,$ where $h$ is a constant, the graph will be moved horizontally. If we replace $f(x)$ with $f(x)+k,$ the graph will be moved vertically. Use the graph below. (GRAPH CANT COPY) Draw a graph of each of the following. $$ y=f(x-3)+1 $$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD