87,938 views
44 votes
44 votes
Instructions: For the function given, determine the direction and amount of vertical shift from the function =(2).

Instructions: For the function given, determine the direction and amount of vertical-example-1
User Damien Debin
by
3.3k points

2 Answers

4 votes
4 votes
The function is translated 1 unit to the left, 3 units down, and is stretched by a factor of 6.

Translated functions use their principle (original) function and add lateral and vertical changes to the function. The principle function is y=(2)^x. Therefore, adding one to that x-value would shift it to the left by 1 unit for every x-value. NOTE: +1 is actually to the right, but transformations reverse that, so it is actually to the left towards the negative domains. The entire function is shifted down 3 units; the “-3” as the last term is subtracting the entire function, so the y-coordinates will all shift down 3 units. And the “a” value of the function is 6. When a>0, the function stretches. So, the function will stretch by a factor of 6, since it is multiplying the entire range of the function.
User Jeff Bennett
by
2.5k points
11 votes
11 votes

SOLUTION

From the translation given, the amount of vertical shift is 3 units down

This was derived from -3

Hence the answer is 3 units down

User Master Stroke
by
3.1k points