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5.1 Exercise 73

Avg difficulty 2.5

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Graph on the same set of axes f(x)= x 2 ,f(x)= (x−2) 2 ,f (x−3) 2 f \left(x\right) = x^{2} , f \left(x\right) = \left(x - 2\right)^{2} , f \left(x - 3\right)^{2}, and f(x)= (x+4) 2 . f \left(x\right) = \left(x + 4\right)^{2} .

What appears to be the effect of adding or subtracting those numbers?

OpenStax Algebra and Trigonometry 2e, 5.1 Quadratic Functions, exercise 73

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.