move and resize graphs of functions. We examined the following changes to f (x): - f (x), f (-x), f (x) + k, f (x + k), kf (x), f (kx) reflections translations dilations This page is a summary of all of the function transformation we have investigated. For more informa...
For example, horizontally reflecting the toolkit functions f(x)=x2f(x)=x2 or f(x)=|x|f(x)=|x| will result in the original graph. We say that these types of graphs are symmetric about the yy-axis. Functions whose graphs are symmetric about the y-axis are called even functions....
Transformations of Graphs: Reflecting and Stretching GraphsStudents will understand how to identify transformations of graphs and in what order. Conversely, students will be able to create graphs from basic functions using the rules of shifting, reflecting, and stretching.Andy Dorsett...
Now adjust the aa value to create a graph that has been compressed vertically by a factor of 1212 and another that has been vertically stretched by a factor of 3. What are the equations of the two graphs? Show Solution The standard form and the general form are equivalent methods of ...
GraphsofParentFunctions TypesofParentFunctions HorizontalTranslations •Ifh>0,thenthegraphofy=f(x-h)isatranslationofhunitstotheRIGHTofthegraphoftheparentfunction.Example:f(x)=(x–3)•Ifh<0,thenthegraphofy=f(x–h)isatranslation of|h|unitstotheLEFTofthegraphofparentfunction.Example:f(x)=(x...
Transformations of Quadratic Functions | Overview, Rules & Graphs 4:33 6:15 Next Lesson Types of Parabolas | Overview, Graphs & Examples Axis of Symmetry | Definition, Equation & Examples 6:11 Maximum & Minimum Values of a Parabola | Overview & Formula 9:54 X & Y Intercepts of a...
Just like Transformations in Geometry, we can move and resize the graphs of functionsLet us start with a function, in this case it is f(x) = x2, but it could be anything:f(x) = x2Here are some simple things we can do to move or scale it on the graph:...
Discover how to translate and reflect graphs of linear functions. Be familiar with the translations and reflections of linear functions through the...
2.6 – Transformations of Graphs Reflections Across the x and y Axes Given the graph of a function y = f(x) sketch the graph of: f(x) f(x) y = –f(x) f(– x) 2.6 – Transformations of Graphs 𝑦=−3 𝑥−4 2 +5 horizontal shift 4 units right vertical stretch by a fa...
Matrices are indexed by (i,j) where i is the row and j is the column, that is why the above matrix is called a 2x3 matrix (3 columns and 2 rows, also known as the dimensions of the matrix). This is the opposite of what you're used to when indexing 2D graphs as (x,y). To...