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Key Ideas
Key Ideas
The parameters in a function or equation correspond to geometrical features of a graph and can represent physical quantities in spatial dimensions.
Our spatial frame of reference affects the visible part of a function and by changing this “window” can show more or less of the function to best suit our needs.
Functions represent mappings that assign to each value of the independent variable (input) one and only one dependent variable (output).A function acts like a machine much like an effects pedal with an input and output. Various knobs are used to decide what sound (or graph) comes out
I understand how any function can be transformed using values for "a, b, c and d"
I can explain how functions can be dilated, translated and reflected.
Transformations
Transformations
What you see in the Desmos screen below are three different functions of x. The function f(x) is a quadratic, g(x) is a rational function and h(x) is part of a circle.
Use the sliders for A, B, C and D and try to find out how the graphs are transformed. Pay particular attention to what happens when their values become negative.
Transforming graphs.pdfTransformations
Transformations
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