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3.5 Exercise 21

Avg difficulty 2.5

The function h(t)=−4.9 t 2 +30t h \left(t\right) = - 4.9 t^{2} + 30 t gives the height h h of a ball (in meters) thrown upward from the ground after t t seconds. Suppose the ball was instead thrown from the top of a 10-m building. Relate this new height function b(t) b \left(t\right) to h(t), h \left(t\right) , and then find a formula for b(t). b \left(t\right) .

OpenStax Algebra and Trigonometry 2e, 3.5 Transformation of Functions, exercise 21

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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.