Algebra I Module 4, Topic C, Lesson 21

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Student Outcomes

  • Students make a connection between the symbolic and graphic forms of quadratic equations in the completed-square (vertex) form.  They efficiently sketch a graph of a quadratic function in the form, f(x) = a(x - h)2 + k, by transforming the quadratic parent function, f(x) = x2, without the use of technology.  They then write a function defined by a quadratic graph by transforming the quadratic parent function.

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Common Core Learning Standards

CCLS State Standard
F.IF.7.b Graph square root, cube root, and piecewise-defined functions, including step functions and...
F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for...

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