Question

what are the tranformations of this function?
2log(x+3)

Answer 1

To find the inverse function you need, practically, to exchange x and y.

So it would be like this:

x = -2log base 5 (y + 3) + 1

And then, isolate y:

log base 5 (y + 3) = (1 - x)/2

y + 3 = 5^((1 - x)/2)

y = inverse function = 5^((1 - x)/2) - 3

Transformations: multiplying by -2 the graph will have to be put upside down with a vertical stretch (2x). Adding 1, it will go up by 1 unity. Adding 3 to x, it will go left by three unities.

Answer 2

I am graphing this function. I know that they transformations are 1. vertical strech by 2 and left 3...do I multiply the 2 from the strech with the x's or y's from my coordinate points

Answer 3

correct x

Answer 4

so i multiply it by the x's?

Answer 5

is there a way you can show me what the graph will look right?

Answer 6

can you show me what the graph will look like