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## Homework Statement

Describe the transformations that must be applied to the graph of y=5^x to obtain the graph of y=2-3(5^x+4) and complete the following table.

y=5^x

(-1,1/5)

(0,1)

(1,5)

(2,25)

(3,125)

y=-3(5^x)

y=2-3(5^x+4)

## Homework Equations

y=5^x , y=2-3(5^x+4)

## The Attempt at a Solution

y=5^x

(-1,1/5)

(0,1)

(1,5)

(2,25)

(3,125)

y=-3(5^x)

(-1,-3/5)

(0,-3)

(1,-15)

(2,-75)

(3,-375)

y=2-3(5^x+4)

(-5,3/5)

(-4,3)

(-3,15)

(-2,75)

(-1,375)

What I did to achieve the points in the second column was to multiply the y-coordinates in the first column by -3. Then I proceeded to adding "-4" to the x coordinates and multiplying the y coordinates by -1 because of "2-3".

I couldn't check to see if my points are correct on my graphing calculator because I didn't know how to input y=2-3(5^x+4). Anyway on the the transformations which I presumed to be:

Shifted to the left by 4(d)

Reflected in x-axis (because I figured "a" would end up being -1)

After that I'm stumped.

What I think the parameters are: a=-1 k=0 d=4 c=0