Transformations of functions
11 videos
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Algebra 2 - What Are Function Transformations?
Learn how to transform parent functions using shifts, reflections, stretching, and compression. Master one function and create an entire family of new functions.
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Algebra 2 - Shifting Functions Up, Down, Left, and Right
Learn how function transformations shift graphs vertically and horizontally. Understand why adding outside moves up/down while subtracting inside moves right/left.
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Algebra 2 - Writing Shifted Functions from Graphs
Learn how to write shifted functions by comparing key points on graphs. Covers horizontal and vertical transformations using the pattern g(x) = f(x - h) + k.
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Algebra 2 - Reflecting Functions Over the Axes
Learn how function reflections work: negative f(x) flips graphs over the x-axis, while f(negative x) flips over the y-axis. Visual examples show how signs change.
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Algebra 2 - Even and Odd Functions
Learn about even and odd functions, their symmetry properties, and how to identify them graphically using examples like x squared and x cubed.
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Algebra 2 - Testing Even and Odd from Equations
Learn the algebraic test for even and odd functions by plugging in negative x and comparing results. Includes examples with polynomial functions.
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Algebra 2 - Vertical Scaling: Stretching and Compressing Functions
Learn how vertical scaling transforms functions by multiplying outputs by a constant k, stretching or compressing graphs relative to the x-axis.
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Algebra 2 - Horizontal Scaling: Stretching and Compressing Sideways
Learn how horizontal scaling transforms functions using f(kx). Discover why k>1 compresses graphs and 0<k<1 stretches them, with the scale factor being 1/k.
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Algebra 2 - Identifying Combined Transformations from Graphs
Learn to identify graph transformations step-by-step: reflections, scaling, and shifts. Combines transformations of quadratic functions into one equation.
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Algebra 2 - Transforming Exponential Function Graphs
Learn how to transform exponential functions by shifting, flipping, and moving graphs. Step-by-step guide shows how changes inside and outside the exponent affect the curve.
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Algebra 2 - Transforming Logarithmic Function Graphs
Learn how to graph transformed logarithmic functions by tracking key points and asymptotes through horizontal shifts, vertical stretches, reflections, and translations.