Question

Solve the given question related to graphing common functions. What is the equation of the graph of $y=e^x$ after you compress the graph horizontally by a factor of 2 , reflect it across the $y$-axis, and shift it down 5 units? 

   Solve the given question related to graphing common functions.
What is the equation of the graph of $y=e^x$ after you compress the graph horizontally by a factor of 2 , reflect it across the $y$-axis, and shift it down 5 units?
Calculus for dummies: 1,001 calculus practice problems
Calculus for dummies: 1,001 calculus practice problems
Patrick Jones 1st Edition
Chapter 1, Problem 72 ↓
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Solve the given question related to graphing common functions. What is the equation of the graph of $y=e^x$ after you compress the graph horizontally by a factor of 2 , reflect it across the $y$-axis, and shift it down 5 units?
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Transcript

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00:01 The equation given to us is f of x is equal to e raise to the power of x and we have to form the new equation which satisfies the condition that this equation has shifted two units to the left and also six units downwards.
00:30 So, in this equation that is given to us, we have to apply two shifts.
00:37 One is horizontal and the other one is vertical.
00:43 Now what do we know that whenever the shift is horizontal, then the new equation becomes e -dase to the power of x minus minus it...
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