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4x sven is going to use his calculator to graph y=log(x-4)+5 before he does so he predicts what will happen to the parent function.

Question

4x Sven is going to use his calculator to graph y=log(x-4)+5 Before he does so he predicts what will happen to the parent function. Which statement correctly identifies the transformations? A The parent function will be moved to the left 4 units and up 5 units B The parent function will be moved to the right 4 units and up 5 units C The parent function will be moved to the right 4 units and down 5 units D The parent function will be moved to the left 4 units and down 5 units

Solution

Verificación de expertos
4.4 (287 Votos)
Nara Mestre · Tutor por 5 anos

Resposta

To determine the transformations of the parent function , we need to analyze the given function .Step 1: Identify the horizontal shift.The term inside the horizontal shift. Since it is subtracted from , it means the shift is to the right by 4 units.Step 2: Identify the vertical shift.The term outside the logarithm indicates a vertical shift. Since it is added to the logarithm, it means the shift is upwards by 5 units.Therefore, the correct statement that identifies the transformations is:B. The parent function will be moved to the right 4 units and up 5 units.