Answer: Choice D
[tex]y = e^{x-7}+5[/tex]
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Work Shown:
[tex]y = e^x\\\\y = e^{x-7} \ ... \ \text{ shift 7 units right}\\\\y = e^{x-7}+5 \ ... \ \text{ shift 5 units up}\\\\[/tex]
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Explanation:
When we replace x with (x-7), we're moving the xy axis 7 units to the left since each input is 7 units smaller than before. This gives the illusion that the function curve moves 7 units to the right.
The +5 at the end will shift things up. It's effectively adding 5 to the y coordinate.
