# graphing geometric transformations template

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consider the graph of \(y_1 = f(x)\) and the graph of \(y_2 = f(x)+7\), as shown in the following diagram. we can describe each point on the parabola in terms of a parameter \(p\); the corresponding point is \((p,p^2)\). now we consider what happens to the graph of an arbitrary function \(y = f(x)\) when it is translated \(a\) units to the right. find the translation which maps the graph of \(y=x^2\) to \(y=x^2+4x+10\). we can reflect any point \(p\) in the line \(l\) to obtain a point \(q=r_l(p)\), as shown in the following diagram.

thus, if we consider the graph of \(y=f(x)\) and reflect it in the \(x\)-axis, we obtain the graph of \(y=-f(x)\). thus, if we consider the graph of \(y=f(x)\) and reflect it in the \(y\)-axis, we obtain the graph of \(y=f(-x)\). the mapping \((x,y) \mapsto (x,3y)\) is called a stretch from the \(x\)-axis. thus \(x=x’\) and \(y=\dfrac{y’}{3}\), and so the graph of \(y = x^2\) maps to \(\dfrac{y’}{3}=(x’)^2\). \] thus \(x=\dfrac{x’}{3}\) and \(y=y’\), and so the graph of \(y = x^2\) maps to \(y’= \bigl(\dfrac{x’}{3}\bigr)^2\). the composition of these two stretches gives a transformation \((x,y) \mapsto (kx,ky)\).

template of graph paper for transformations. subjects: geometry. grades: 7 ❖ when you are finished, cut your template out to do your transformations. page 2. step 2: translations ❖ place your i created this project in the hopes that creating an actual template to move around as they transform would help , geometry transformation project, geometry transformation project, transformation project geometry floor plan, geometry, transformations logo project, geometric transformations pdf.

vertical or horizontal translations; reflections in either axis; stretching from either axis. for example, if f(x) required materials: rulers, graph paper, pencils. this project is designed to conclude the geometric transformations math geometry worksheets transformations geometry worksheet awesome best they loved the graphing template to move around as they transform would help them to understand it a little better., transformation graphing, real world applications of geometric transformations, real world applications of geometric transformations, transformations math lib, transformations in real life project

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