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Lesson Plan
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\n\"Graphic\n\n
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\nCurated OER\n
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\nGraphic Designing with Transformed Functions\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nTeach your class how to transform a graph! By identifying the domain and range of the functions, students can observe the parabola and find the vertex of the transformed graph.\n
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Activity
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\n\"Transforming\n\n
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\nAgile Mind\n
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\nTransforming Graphs of Quadratic Functions\n

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\n\nFor Teachers\n\n8th - 12th\n\nStandards\n
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\nIn the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...\n
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Assessment
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\n\"Transformations\n\n
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\nConcord Consortium\n
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\nTransformations Resource\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nTransform your lesson for transforming functions. Scholars transform linear, quadratic, exponential, rational, and trigonometric expressions. They write their expressions to fit specific forms and identify the values of the resulting...\n
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Interactive
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\n\"Horizontal\n\n
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\nCK-12 Foundation\n
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\nHorizontal Translations or Phase Shifts: Tangent\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nPatterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes...\n
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Lesson Plan
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\n\"Building\n\n
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\nCurated OER\n
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\nBuilding a Quadratic Function Form\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nComparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...\n
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Instructional Video6:38
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\n\"How\n\n
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\nCurated OER\n
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\nHow Do You Graph a Quadratic Equation in Intercept Form?\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nWatch this video and find out how to graph a quadratic equation when it's in intercept form! After going through the different forms of quadratic equations, an instructor leads viewers through an example problem. For the example problem,...\n
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Lesson Plan
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\n\"Logarithmic\n\n
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\nVirginia Department of Education \n
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\nLogarithmic Modeling\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nExplore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...\n
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Lesson Plan
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\n\"Stretching\n\n
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\nEngageNY\n
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\nStretching and Shrinking Graphs of Functions\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nWhy is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections. \n
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Lesson Plan
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\n\"Translations\n\n
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\nCurated OER\n
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\nTranslations and Scale Changes\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nStudents perform translation and transformation of functions. In this algebra lesson plan, students write the formula for the different transformation and graph given translation. They compare the change to the parent function.\n
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Unit Plan
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Transforming Functions\n

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\n\nFor Students\n\n9th - 10th\n
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\nPractice transforming functions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.\n
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Activity
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\n\"Texas\n\n
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\nTexas Instruments\n
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\nTexas Instruments: Transforming Functions\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nExplore transformations on an absolute value graph. Apply what you learn to Square root and x-squared equations.\n
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Graphic
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\n\"New\n\n
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\nHofstra University\n
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\nNew Functions From Old: Scaled and Shifted\n

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\n\nFor Students\n\n9th - 10th\n
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\nIncludes rules, examples, and sample problems on 6 different types of translations; vertical and horizontal shift, stretch, and reflection. Uses six basic functions (x, x^2, x^3, 1/x, x^1/2, and abs(x)) throughout examples, which makes...\n
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Unit Plan
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\n\"Concord\n\n
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\nConcord Consortium\n
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\nConcord Consortium: Transformations of Functions 4: All Transformations\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nStudents will understand all transformations of functions: translations, dilations and reflections. By the end of the activity students will be able to identify a function transformation, identify the way the graph will change given a...\n
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Unit Plan
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\n\"Ck\n\n
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\nCK-12 Foundation\n
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\nCk 12: Transformers\n

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\n\nFor Students\n\n10th - 12th\n
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\n[Free Registration/Login may be required to access all resource tools.] This lesson looks at the function of transformers, at how turns and voltage ratio are related, and at solving transformer problems with mathematics. Includes a...\n
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Unit Plan
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Radical Functions & Their Graphs\n

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\n\nFor Students\n\n9th - 10th\n
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\nGiven the formula of a square-root or a cube-root function, find the appropriate graph. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.\n
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Instructional Video
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\n\"Virtual\n\n
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\nVirtual Nerd\n
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\nVirtual Nerd: How Do You Graph the Parent Quadratic Function Y=x2?\n

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\n\nFor Students\n\n9th - 10th\n
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\nIt's important to know about the parent function graph first when dealing with graphs of quadratic equations. All graphs of quadratic equations start off looking like this before their transformed. Take a look. [7:06]\n
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Instructional Video
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\n\"Virtual\n\n
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\nVirtual Nerd\n
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\nVirtual Nerd: Convert a Quadratic Equation From Vertex Form to Standard Form\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nIf you want to solve a quadratic equation that's in vertex form, it's easier to first convert the equation to standard form. This tutorial will show you how. [4:15]\n
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Instructional Video
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\n\"Virtual\n\n
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\nVirtual Nerd\n
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\nVirtual Nerd: How Do You Graph a Quadratic Equation in Intercept Form?\n

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\n\nFor Students\n\n9th - 10th\n
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\nFollow along with this tutorial to see how to take an equation in intercept form and use it to find the x-intercepts, vertex, and axis of symmetry. [6:38]\n
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