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Mathematics, 23.06.2019 09:30 Lakenwilliams1250
State the order and type of each transformation of the graph of the function ƒ(x) = –|(x + 6)| + 4 as compared to the graph of the base function left 6 units, reflection about the x-axis, up 4 units left 6 units, up 4 units, reflection about the x-axis right 6 units, up 4 units, reflection about the y-axis left 6 units, reflection about the y-axis, up 4 units
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Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .
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State the order and type of each transformation of the graph of the function ƒ(x) = –|(x + 6)| + 4 a...
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