Question

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Answer 1

Alright, so there are a few basic things that can happen to graphs. They can be shifted left, right, up, or down, they can be reflected about the x-axis, y-axis, or both, and they can be stretched or shrunk both horizontally and vertically. Its quite a bit to think about at first, but its not that bad.
Okay, you have two things that have happened to your graph of e^x. x is being multiplied by 5, and your whole function is being subtracted by 5. Its easier to start with the -5. When you had a random + or - added to the function and NOT paired with x, the graph moves up and down by that many units. So you have a -5, not paired with x, so that means e^x has been moved down 5 units.
And when I mean paired with x, I mean its not (x-3) √(x-3) |x-3|, etc.

Answer 2

Once we kinda understand some of this we'll keep going :P

Answer 3

ok i get that

Answer 4

Alright, awesome. So e^x has been shifted down 5. Now we have x DIRECTLY being multiplied by 5. When you have a number greater than 1 multiplying x, the graph gets horizontally crushed, or shrunk. So basically, your graph has done two things, moved down 5 and been squished in horizontally. We good with that so far?

Answer 5

i thought it gets streched?

Answer 6

It does when the entire function is being multiplied by 5. Its a little backwards.

Answer 7

the bigger x gets the higher it goes

Answer 8

Right, it does get higher, but the ends of the function get kinda dragged in. Ill show ya what I mean.

Answer 9

ok so is the sclae factor then 1/5

Answer 10

So yeah, the values get higher, but the graph also gets compressed