Question

Graph for a medal?

Graph the inverse of y=3x+3

Answer 1

Do you understand what the graph of `this` function looks like?
The inverse would be that function reflected over the y=x diagonal.

Or we can go through the algebra steps to find the inverse, that might be a little easier.

Answer 2

sure

Answer 3

\[\large y=3x+3\]We start by swapping y and x.\[\large x=3y+3\]This new y represents the inverse function, let's solve for our y.
We'll subtract 3 from each side,\[\large x-3=3y\]Divide each side by 3,\[\large \frac{x}{3}-1=y\]Which we'll write this way,\[\large y=\frac{1}{3}x-1\]

So here is our inverse function, any confusion in those steps?

Answer 4

none at all

Answer 5

To properly graph the function all we need to do is plot 2 points then draw a line through them.

We can see that this function has a y-intercept of -1.
So we'll pass through the point \(\large (0,-1)\).

What's another nice easy point we could plot?
If we let x=3 it gives us umm.. looks like y=0 right?
So there another point we can place on our graph \(\large (3,0)\).

Understand how to draw your line with those two points? :)

Answer 6

like this?