Note: there are no method marks awarded for any transformation questions no matter how many marks are being awarded, they are all answer marks.ĭilation from the x-axis by a factor of aĭilation from the y-axis by a factor of aĮxample 3. Learn about reflection in mathematics: every point is the same distance from a. In methods we are generally concerned with - reflections in the x-axis, y-axis and line y=x Reflection 1 Name ID: 1 Date Period S l2\0x1M5W VKkuDtYau KSWomfKtIwGavrte uLMLeCC.j X PAplBlK trSigshZtjsy srFe\sIePrCvteRdI.-1-Graph the image of the figure using the transformation given. Reflections simply flip the graph relative to a certain line. Each section encourages students to discover how the graph and equation are related. Graph JKLM and its image in the given line. Two-for-One Deal: Unit provides easy-to-follow notes and practice problems for graphing the reflections, vertical shifts, and horizontal shifts of linear, absolute value, quadratic, cubic, rational, and square root functions. In this case, the figure is reflected across the y axis. 2) Quadrilateral JKLM has vertices J(2, 3), K(3, 2), L(2, -1), and M(0,1). Figures are usually reflected across either the x or the y axis. The resource includes classroom examples, teacher notes and guided questions. In a reflection, the figure flips across a line to make a mirror image of itself. Note: When using the mapping rule to graph functions using. All dilation factors are positive.Ī dilation from the y-axis by a factor larger than one ( > 1) will result in the graph being stretched away from the y-axis.Ī dilation from the y-axis by a factor less than one ( 1) will result in the graph being stretched away from the x-axis.Ī dilation from the x-axis by a factor less than one ( < 1) will result in the graph being compressed towards the x-axis. Students can use simple counting or algebra to find a general solution. a 3, Indicates a vertical stretch by a factor of 3 and a reflection in the x-axis. Translations are when we shift the entire graph left, right, up or down.ĭilations stretch or compress the graph. There are three types of transformations which we will be dealing with: translations, dilations and reflections.
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